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Author ID: carey.alan-l Recent zbMATH articles by "Carey, Alan L."
Published as: Carey, A. L.; Carey, Alan L.; Carey, Alan; Carey, A.; Carey, A. L
External Links: MGP · Wikidata · GND
all top 5

Co-Authors

12 single-authored
29 Sukochev, Fedor Anatol’evich
25 Rennie, Adam
22 Phillips, John
19 Murray, Michael K.
12 Mathai, Varghese
12 Wang, Bailing
11 Hannabuss, Keith C.
11 Moran, William
10 Gesztesy, Fritz
10 Levitina, Galina Borisovna
8 Potapov, Denis
7 Mickelsson, Jouko
6 Evans, David E.
6 Hurst, Charles Angas
6 O’Brien, D. M.
5 Zanin, Dmitriy V.
4 Bouwknegt, Peter G.
4 Grosse, Harald
4 Jupp, Peter E.
4 Kaad, Jens
4 Nichols, Roger
4 Zhang, Ruibin
3 Baggett, Lawrence Wasson
3 Benameur, Moulay-Tahar
3 Bourne, Chris
3 Eastwood, Michael G.
3 Farber, Michael S.
3 Gayral, Victor
3 Grundling, Hendrik B. G. S.
3 Langmann, Edwin
3 Wojciechowski, Krzysztof P.
2 Azamov, Nurulla A.
2 Johnson, Stuart
2 Klimek, Slawomir
2 Marcolli, Matilde
2 McCann, Paul J.
2 Palmer, John N.
2 Putnam, Ian F.
2 Ramsay, Arlan B.
2 Ratnam, Rishni
2 Rosenberg, Steven
2 Schulz-Baldes, Hermann
2 Stevenson, Danny
2 Tomilov, Yuri
1 Araki, Huzihiro
1 Barndorff-Nielsen, Ole Eiler
1 Batty, Charles J. K.
1 Baum, Paul Frank
1 Baumgärtel, Hellmut
1 Blæsild, Preben
1 Braverman, Maxim
1 Britz, Thomas
1 Cant, A.
1 Čap, Andreas
1 Carrell, James B.
1 Coulhon, Thierry
1 Cowling, Michael G.
1 Crowley, Diarmuid John
1 Dodds, Peter G.
1 Ellis, William J.
1 Ellwood, David Alexandre
1 Gaffney, J. M.
1 Gover, Ashwin Rod
1 Graham, C. Robin
1 Hume, L. R.
1 Kaniuth, Eberhard
1 Keck, B. W.
1 Lehrer, Gustav Isaac
1 Lesch, Matthias
1 Lohé, M. A.
1 Mason, Lionel J.
1 Mcnamara, Kristin
1 Mishchenko, Aleksandr Sergeevich
1 Neshveyev, Sergey V.
1 Nest, Ryszard
1 Ohring, Peter
1 Paycha, Sylvie
1 Pearce, Charles Edward Miller
1 Pearce, Paul A.
1 Raeburn, Iain
1 Robinson, Derek William
1 Ruijsenaars, Simon N. M.
1 Sedaev, Aleksandr
1 Singer, Michael A.
1 Slovák, Jan
1 Springer, Tonny Albert
1 Sutherland, Colin E.
1 Taylor, Peter Gerrard
1 Thiang, Guo Chuan
1 Thomas, Anthony W.
1 Wright, Jill D.
all top 5

Serials

19 Communications in Mathematical Physics
13 Journal of Functional Analysis
12 Letters in Mathematical Physics
6 Advances in Mathematics
5 Reviews in Mathematical Physics
5 Journal of Geometry and Physics
5 Publications of the Research Institute for Mathematical Sciences, Kyoto University
4 Reports on Mathematical Physics
4 Canadian Journal of Mathematics
4 Journal für die Reine und Angewandte Mathematik
4 Journal of \(K\)-Theory
3 Journal of Mathematical Physics
3 Acta Applicandae Mathematicae
3 Journal of Spectral Theory
2 Journal of the Australian Mathematical Society, Series B
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 \(K\)-Theory
2 Journal of the Australian Mathematical Society. Series A
2 Annales de l’Institut Henri Poincaré. Physique Théorique
2 Communications in Contemporary Mathematics
2 Annales Henri Poincaré
2 Australian Mathematical Society Lecture Series
1 International Journal of Modern Physics B
1 Bulletin of the Australian Mathematical Society
1 Journal d’Analyse Mathématique
1 Journal of Statistical Physics
1 Revue Roumaine de Mathématiques Pures et Appliquées
1 Russian Mathematical Surveys
1 Studia Mathematica
1 Hadronic Journal
1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique
1 The Australian Mathematical Society Gazette
1 Gazette des Mathématiciens
1 Integral Equations and Operator Theory
1 Mathematische Annalen
1 Mathematische Nachrichten
1 Memoirs of the American Mathematical Society
1 Proceedings of the London Mathematical Society. Third Series
1 Topology
1 Journal of Operator Theory
1 Differential Geometry and its Applications
1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
1 Bulletin des Sciences Mathématiques
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Acta Mathematica Sinica. English Series
1 Journal of Geometry and Symmetry in Physics
1 Lecture Notes in Mathematics
1 Clay Mathematics Proceedings
1 Journal of Noncommutative Geometry
1 Operators and Matrices
1 Electronic Research Announcements in Mathematical Sciences
1 Journal of Topology and Analysis
1 Proceedings of the American Mathematical Society. Series B
1 ESI Lectures in Mathematics and Physics
1 Memoirs of the European Mathematical Society

Publications by Year

Citations contained in zbMATH Open

136 Publications have been cited 1,513 times in 845 Documents Cited by Year
Twisted \(K\)-theory and \(K\)-theory of bundle gerbes. Zbl 1036.19005
Bouwknegt, Peter; Carey, Alan L.; Mathai, Varghese; Murray, Michael K.; Stevenson, Danny
98
2002
Spectral flow and Dixmier traces. Zbl 1015.19003
Carey, Alan; Phillips, John; Sukochev, Fyodor
56
2003
Operator integrals, spectral shift, and spectral flow. Zbl 1163.47008
Azamov, N. A.; Carey, A. L.; Dodds, P. G.; Sukochev, F. A.
51
2009
Unbounded Fredholm modules and spectral flow. Zbl 0915.46063
Carey, Alan; Phillips, John
49
1998
On fermionic gauge groups, current algebras and Kac-Moody algebras. Zbl 0644.22012
Carey, A. L.; Ruijsenaars, S. N. M.
47
1987
The local index formula in semifinite von Neumann algebras. I: Spectral flow. Zbl 1118.46060
Carey, Alan L.; Phillips, John; Rennie, Adam; Sukochev, Fyodor A.
45
2006
Bundle gerbes for Chern-Simons and Wess-Zumino-Witten theories. Zbl 1088.58018
Carey, Alan L.; Johnson, Stuart; Murray, Michael K.; Stevenson, Danny; Wang, Bai-Ling
44
2005
The Dixmier trace and asymptotics of zeta functions. Zbl 1128.46022
Carey, Alan L.; Rennie, Adam; Sedaev, Aleksandr; Sukochev, Fyodor
38
2007
Index theory for locally compact noncommutative geometries. Zbl 1314.46081
Carey, A. L.; Gayral, V.; Rennie, A.; Sukochev, F. A.
36
2014
Dixmier traces and some applications in non-commutative geometry. Zbl 1151.46053
Carey, A. L.; Sukochev, F. A.
35
2006
A non-commutative framework for topological insulators. Zbl 1364.81269
Bourne, C.; Carey, A. L.; Rennie, A.
33
2016
Spectral flow in Fredholm modules, eta invariants and the JLO cocycle. Zbl 1051.19004
Carey, Alan; Phillips, John
30
2004
The Hochschild class of the Chern character for semifinite spectral triples. Zbl 1058.19002
Carey, Alan L.; Phillips, John; Rennie, Adam; Sukochev, Fyodor A.
30
2004
The local index formula in semifinite von Neumann algebras. II: the even case. Zbl 1101.46045
Carey, Alan L.; Phillips, John; Rennie, Adam; Sukochev, Fyodor A.
30
2006
Quantum Hall effect on the hyperbolic plane. Zbl 0916.46057
Carey, A. L.; Hannabuss, K. C.; Mathai, V.; McCann, P.
29
1998
Index theory, gerbes, and Hamiltonian quantization. Zbl 0887.58049
Carey, Alan; Mickelsson, Jouko; Murray, Michael
29
1997
Holonomy on \(D\)-branes. Zbl 1092.81055
Carey, Alan L.; Johnson, Stuart; Murray, Michael K.
26
2004
Automorphisms of the canonical anticommutation relations and index theory. Zbl 0498.46051
Carey, A. L.; Hurst, C. A.; O’Brien, D. M.
25
1982
Square-integrable representations of non-unimodular groups. Zbl 0327.22008
Carey, A. L.
25
1976
An analytic approach to spectral flow in von Neumann algebras. Zbl 1119.58016
Benameur, Moulay-Tahar; Carey, Alan L.; Phillips, John; Rennie, Adam; Sukochev, Fyodor A.; Wojciechowski, Krzysztof P.
24
2006
Twisted cyclic theory, equivariant \(KK\)-theory and KMS states. Zbl 1218.19002
Carey, Alan L.; Neshveyev, Sergey; Nest, Ryszard; Rennie, Adam
22
2011
General existence theorems for orthonormal wavelets, an abstract approach. Zbl 0849.42019
Baggett, Larry; Carey, Alan; Moran, William; Ohring, Peter
22
1995
Bundle gerbes applied to quantum field theory. Zbl 0961.81127
Carey, Alan L.; Mickelsson, Jouko; Murray, Michael K.
21
2000
Integration on locally compact noncommutative spaces. Zbl 1251.46036
Carey, A. L.; Gayral, V.; Rennie, A.; Sukochev, F. A.
19
2012
The bulk-edge correspondence for the quantum Hall effect in Kasparov theory. Zbl 1325.81199
Bourne, Chris; Carey, Alan L.; Rennie, Adam
17
2015
The universal Gerbe, Dixmier-Douady class, and gauge theory. Zbl 1003.58022
Carey, Alan L.; Mickelsson, Jouko
17
2002
\(L^ 2\)-torsion invariants. Zbl 0771.57009
Carey, Alan L.; Mathai, Varghese
17
1992
The spectral shift function and spectral flow. Zbl 1129.58008
Azamov, N. A.; Carey, A. L.; Sukochev, F. A.
16
2007
Group representations in reproducing kernel Hilbert spaces. Zbl 0418.22004
Carey, A. L.
15
1978
Thom isomorphism and push-forward map in twisted K-theory. Zbl 1204.55006
Carey, Alan L.; Wang, Bai-Ling
15
2008
Differential twisted K-theory and applications. Zbl 1173.19003
Carey, Alan L.; Mickelsson, Jouko; Wang, Bai-Ling
14
2009
A note on the Boson-Fermion correspondence and infinite dimensional groups. Zbl 0577.46067
Carey, A. L.; Hurst, C. A.
14
1985
Automorphisms of the infinite dimensional Clifford algebra and the Atiyah-Singer mod 2 index. Zbl 0532.47011
Carey, A. L.; O’Brien, D. M.
13
1983
On unbounded \(p\)-summable Fredholm modules. Zbl 0960.46039
Carey, A. L.; Phillips, J.; Sukochev, F. A.
13
2000
Some homogeneous spaces and representations of the Hilbert Lie group \({\mathcal U}(H)_ 2\). Zbl 0581.22019
Carey, A. L.
13
1985
Spectral flow for skew-adjoint Fredholm operators. Zbl 1472.58017
Carey, Alan L.; Phillips, John; Schulz-Baldes, Hermann
13
2019
Characters of nilpotent groups. Zbl 0549.43004
Carey, A. L.; Moran, W.
11
1984
Spectral triples: examples and index theory. Zbl 1252.58004
Carey, Alan L.; Phillips, John; Rennie, Adam
11
2011
On \({\mathcal O}_{n+1}\). Zbl 0562.46033
Araki, H.; Carey, A. L.; Evans, D. E.
10
1984
On the Witten index in terms of spectral shift functions. Zbl 1481.47012
Carey, Alan; Gesztesy, Fritz; Potapov, Denis; Sukochev, Fedor; Tomilov, Yuri
10
2017
Twisted cyclic theory and an index theory for the gauge invariant KMS state on the Cuntz algebra \(O_{n}\). Zbl 1220.19004
Carey, A. L.; Phillips, J.; Rennie, A.
10
2010
Determinant lines, von Neumann algebras and \(L^ 2\) torsion. Zbl 0872.46031
Carey, A.; Farber, M.; Mathai, V.
10
1997
String structures and the path fibration of a group. Zbl 0734.55006
Carey, A. L.; Murray, M. K.
10
1991
The Chern character of semifinite spectral triples. Zbl 1157.46045
Carey, Alan L.; Phillips, John; Rennie, Adam; Sukochev, Fyodor A.
10
2008
Loop groups, anyons and the Calogero-Sutherland model. Zbl 1044.81708
Carey, Alan L.; Langmann, Edwin
9
1999
Principal bundles and the Dixmier Douady class. Zbl 0909.57007
Carey, Alan L.; Crowley, Diarmuid; Murray, Michael K.
9
1998
Noncommutative Atiyah-Patodi-Singer boundary conditions and index pairings in \(KK\)-theory. Zbl 1207.46062
Carey, A. L.; Phillips, J.; Rennie, A.
9
2010
Quantum Hall effect and noncommutative geometry. Zbl 1104.81088
Carey, Alan L.; Hannabuss, Keith C.; Mathai, Varghese
9
2006
Infinite complex spin groups. Zbl 0714.22015
Carey, Alan; Palmer, John
9
1989
Induced representations, reproducing kernels and the conformal group. Zbl 0339.43007
Carey, A. L.
9
1977
Spectral flow is the integral of one forms on the Banach manifold of self adjoint Fredholm operators. Zbl 1217.58016
Carey, Alan; Potapov, Denis; Sukochev, Fedor
9
2009
Faddeev’s anomaly and bundle gerbes. Zbl 0848.22024
Carey, A. L.; Murray, M. K.
9
1996
Absence of vacuum polarisation in Fock space. Zbl 0515.46074
Carey, A. L.; O’Brien, D. M.
8
1982
Quantum Hall effect on the hyperbolic plane in the presence of disorder. Zbl 1055.81571
Carey, A.; Hannabuss, K.; Mathai, V.
8
1999
Motives, quantum field theory, and pseudodifferential operators. Based on lectures of the conference, Boston, MA, USA, June 2–13, 2008. Zbl 1205.00080
8
2010
Temperature states on loop groups, theta functions and the Luttinger model. Zbl 0633.46068
Carey, A. L.; Hannabuss, K. C.
8
1987
\(L^2\)-torsion without the determinant class condition and extended \(L^2\) cohomology. Zbl 1079.55015
Braverman, Maxim; Carey, Alan; Farber, Michael; Mathai, Varghese
8
2005
Spectral flow for nonunital spectral triples. Zbl 1365.46065
Carey, Alan L.; Gayral, Victor; Phillips, John; Rennie, Adam; Sukochev, Fedor A.
8
2015
On the global limiting absorption principle for massless Dirac operators. Zbl 1394.81115
Carey, Alan; Gesztesy, Fritz; Kaad, Jens; Levitina, Galina; Nichols, Roger; Potapov, Denis; Sukochev, Fedor
8
2018
A gerbe obstruction to quantization of fermions on odd-dimensional manifolds with boundary. Zbl 1038.58027
Carey, Alan; Mickelsson, Jouko
7
2000
Measurable operators and the asymptotics of heat kernels and zeta functions. Zbl 1270.46059
Carey, Alan; Sukochev, Fedor
7
2012
Higher bundle gerbes and cohomology classes in gauge theories. Zbl 0884.55004
Carey, A. L.; Murray, M. K.; Wang, B. L.
7
1997
Algebras almost commuting with Clifford algebras in a \(II_{\infty}\) factor. Zbl 0732.46039
Carey, Alan L.; Phillips, John
7
1991
A \(C^*\)-algebra formulation of the quantization of the electromagnetic field. Zbl 0348.46056
Carey, A. L.; Gaffney, J. M.; Hurst, C. A.
7
1977
On characteristic identities for Lie algebras. Zbl 0359.17003
O’Brien, D. M.; Cant, A.; Carey, A. L.
7
1977
Spectral flow invariants and twisted cyclic theory for the Haar state on \(SU_q(2)\). Zbl 1175.46064
Carey, A. L.; Rennie, A.; Tong, K.
7
2009
Fusion of symmetric D-branes and Verlinde rings. Zbl 1161.53069
Carey, Alan L.; Wang, Bai-Ling
7
2008
Spectral flow of monopole insertion in topological insulators. Zbl 1422.81102
Carey, Alan L.; Schulz-Baldes, Hermann
6
2019
Infinite dimensional groups and quantum field theory. Zbl 0545.22019
Carey, A. L.
6
1983
Universal measurability and the Hochschild class of the Chern character. Zbl 1361.46050
Carey, Alan L.; Rennie, Adam; Sukochev, Fedor; Zanin, Dmitriy
6
2016
Higher spectral flow and an entire bivariant JLO cocycle. Zbl 1276.58002
Benameur, Moulay-Tahar; Carey, Alan L.
6
2013
Modular index invariants of Mumford curves. Zbl 1270.46065
Carey, Alan; Marcolli, Matilde; Rennie, Adam
6
2011
A Jost-Pais-type reduction of Fredholm determinants and some applications. Zbl 1311.47027
Carey, Alan; Gesztesy, Fritz; Potapov, Denis; Sukochev, Fedor; Tomilov, Yuri
5
2014
Families of type III KMS states on a class of \(C^*\)-algebras containing \(O_n\) and \({\mathcal Q}_{\mathbb N}\). Zbl 1217.46039
Carey, A. L.; Phillips, J.; Putnam, I. F.; Rennie, A.
5
2011
Anomalies of Dirac type operators on Euclidean space. Zbl 1321.47026
Carey, Alan; Grosse, Harald; Kaad, Jens
5
2015
Loop groups and quantum fields. Zbl 1042.81080
Carey, Alan L.; Langmann, Edwin
5
2002
Seiberg-Witten monopoles in three dimensions. Zbl 0871.58015
Carey, A. L.; Wang, B. L.; Zhang, R. B.; McCarthy, J.
5
1997
On the problem of the amenability of the gauge group. Zbl 1079.43003
Carey, Alan; Grundling, Hendrik
5
2004
The Pompeiu problem for groups. Zbl 0717.22003
Carey, Alan L.; Kaniuth, Eberhard; Moran, William
5
1991
Semifinite spectral triples associated with graph \(C^*\)-algebras. Zbl 1159.46040
Carey, Alan L.; Phillips, John; Rennie, Adam
5
2008
Trace formulas for a class of non-Fredholm operators: a review. Zbl 1394.47023
Carey, Alan; Gesztesy, Fritz; Grosse, Harald; Levitina, Galina; Potapov, Denis; Sukochev, Fedor; Zanin, Dmitriy
5
2016
\(K\)-cycles for twisted \(K\)-homology. Zbl 1300.19003
Baum, Paul; Carey, Alan; Wang, Bai-Ling
5
2013
Some infinite dimensional groups and bundles. Zbl 0575.46059
Carey, A. L.
4
1984
The local index formula in noncommutative geometry revisited. Zbl 1297.19007
Carey, Alan L.; Phillips, John; Rennie, Adam; Sukochev, Fedor A.
4
2013
The Landau-Lifshitz equation, elliptic curves and the Ward transform. Zbl 0774.35071
Carey, A. L.; Hannabuss, K. C.; Mason, L. J.; Singer, M. A.
4
1993
On index theory for non-Fredholm operators: a \((1+1)\)-dimensional example. Zbl 1384.47006
Carey, Alan; Gesztesy, Fritz; Levitina, Galina; Potapov, Denis; Sukochev, Fedor; Zanin, Dima
4
2016
Quantum group actions on the Cuntz algebra. Zbl 0974.17013
Carey, A. L.; Paolucci, A.; Zhang, R. B.
4
2000
Holonomy and the Wess-Zumino term. Zbl 0623.58027
Carey, A. L.; Murray, M. K.
4
1986
A Dirac type operator on the non-commutative disk. Zbl 1206.46058
Carey, Alan L.; Klimek, Sławomir; Wojciechowski, Krzysztof P.
4
2010
Riemann surfaces, Clifford algebras and infinite dimensional groups. Zbl 0721.30034
Carey, A. L.; Eastwood, M. G.; Hannabuss, K. C.
4
1990
Algebras almost commuting with Clifford algebras. Zbl 0725.46042
Carey, A. L.; Evans, D. E.
4
1990
Twistors and geometric quantisation theory. Zbl 0406.58018
Carey, A. L.; Hannabuss, K. C.
4
1978
On the index of a non-Fredholm model operator. Zbl 1356.47018
Carey, Alan; Gesztesy, Fritz; Levitina, Galina; Sukochev, Fedor
4
2016
Group actions on C\(^*\)-algebra, 3-cocycles and quantum field theory. Zbl 0823.46064
Carey, A. L.; Grundling, H.; Raeburn, I.; Sutherland, C.
4
1995
The operator algebras of the two-dimensional Ising model. Zbl 0691.46052
Carey, Alan L.; Evans, David E.
3
1988
Non-monomial unitary representations of nilpotent groups. I: The Abelian case. Zbl 0516.22002
Carey, A. L.; Moran, W.
3
1983
Topological invariance of the homological index. Zbl 1461.47004
Carey, Alan; Kaad, Jens
3
2017
Correspondences, von Neumann algebras and holomorphic \(L^2\) torsion. Zbl 0982.58023
Carey, A.; Farber, M.; Mathai, V.
3
2000
Hilbert \(C^*\)-systems for actions of the circle group. Zbl 1008.46025
Baumgaertel, H.; Carey, A. L.
3
2001
On an automorphic action of U(n,1) on \({\mathcal O}_ n\). Zbl 0615.46062
Carey, Alan L.; Evans, David E.
3
1987
The limiting absorption principle for massless Dirac operators, Properties of spectral shift functions, and an application to the Witten index of non-Fredholm operators. Zbl 1529.81006
Carey, Alan; Gesztesy, Fritz; Levitina, Galina; Nichols, Roger; Sukochev, Fedor; Zanin, Dmitriy
2
2023
The \(\text{KO}\)-valued spectral flow for skew-adjoint Fredholm operators. Zbl 1496.19002
Bourne, Chris; Carey, Alan L.; Lesch, Matthias; Rennie, Adam
2
2022
Index theory beyond the Fredholm case. Zbl 1515.58005
Carey, Alan; Levitina, Galina
1
2022
The Fermi gerbe of Weyl semimetals. Zbl 1478.81016
Carey, Alan; Thiang, Guo Chuan
2
2021
The product formula for regularized Fredholm determinants. Zbl 07326419
Britz, Thomas; Carey, Alan; Gesztesy, Fritz; Nichols, Roger; Sukochev, Fedor; Zanin, Dmitriy
1
2021
Spectral flow for skew-adjoint Fredholm operators. Zbl 1472.58017
Carey, Alan L.; Phillips, John; Schulz-Baldes, Hermann
13
2019
Spectral flow of monopole insertion in topological insulators. Zbl 1422.81102
Carey, Alan L.; Schulz-Baldes, Hermann
6
2019
On the global limiting absorption principle for massless Dirac operators. Zbl 1394.81115
Carey, Alan; Gesztesy, Fritz; Kaad, Jens; Levitina, Galina; Nichols, Roger; Potapov, Denis; Sukochev, Fedor
8
2018
On the Witten index in terms of spectral shift functions. Zbl 1481.47012
Carey, Alan; Gesztesy, Fritz; Potapov, Denis; Sukochev, Fedor; Tomilov, Yuri
10
2017
Topological invariance of the homological index. Zbl 1461.47004
Carey, Alan; Kaad, Jens
3
2017
A non-commutative framework for topological insulators. Zbl 1364.81269
Bourne, C.; Carey, A. L.; Rennie, A.
33
2016
Universal measurability and the Hochschild class of the Chern character. Zbl 1361.46050
Carey, Alan L.; Rennie, Adam; Sukochev, Fedor; Zanin, Dmitriy
6
2016
Trace formulas for a class of non-Fredholm operators: a review. Zbl 1394.47023
Carey, Alan; Gesztesy, Fritz; Grosse, Harald; Levitina, Galina; Potapov, Denis; Sukochev, Fedor; Zanin, Dmitriy
5
2016
On index theory for non-Fredholm operators: a \((1+1)\)-dimensional example. Zbl 1384.47006
Carey, Alan; Gesztesy, Fritz; Levitina, Galina; Potapov, Denis; Sukochev, Fedor; Zanin, Dima
4
2016
On the index of a non-Fredholm model operator. Zbl 1356.47018
Carey, Alan; Gesztesy, Fritz; Levitina, Galina; Sukochev, Fedor
4
2016
The spectral shift function and the Witten index. Zbl 06981831
Carey, Alan; Gesztesy, Fritz; Levitina, Galina; Sukochev, Fedor
2
2016
Double operator integral methods applied to continuity of spectral shift functions. Zbl 06694723
Carey, Alan; Gesztesy, Fritz; Levitina, Galina; Nichols, Roger; Potapov, Denis; Sukochev, Fedor
2
2016
On a spectral flow formula for the homological index. Zbl 1332.19006
Carey, Alan; Grosse, Harald; Kaad, Jens
1
2016
The bulk-edge correspondence for the quantum Hall effect in Kasparov theory. Zbl 1325.81199
Bourne, Chris; Carey, Alan L.; Rennie, Adam
17
2015
Spectral flow for nonunital spectral triples. Zbl 1365.46065
Carey, Alan L.; Gayral, Victor; Phillips, John; Rennie, Adam; Sukochev, Fedor A.
8
2015
Anomalies of Dirac type operators on Euclidean space. Zbl 1321.47026
Carey, Alan; Grosse, Harald; Kaad, Jens
5
2015
Index theory for locally compact noncommutative geometries. Zbl 1314.46081
Carey, A. L.; Gayral, V.; Rennie, A.; Sukochev, F. A.
36
2014
A Jost-Pais-type reduction of Fredholm determinants and some applications. Zbl 1311.47027
Carey, Alan; Gesztesy, Fritz; Potapov, Denis; Sukochev, Fedor; Tomilov, Yuri
5
2014
Higher spectral flow and an entire bivariant JLO cocycle. Zbl 1276.58002
Benameur, Moulay-Tahar; Carey, Alan L.
6
2013
\(K\)-cycles for twisted \(K\)-homology. Zbl 1300.19003
Baum, Paul; Carey, Alan; Wang, Bai-Ling
5
2013
The local index formula in noncommutative geometry revisited. Zbl 1297.19007
Carey, Alan L.; Phillips, John; Rennie, Adam; Sukochev, Fedor A.
4
2013
Integration on locally compact noncommutative spaces. Zbl 1251.46036
Carey, A. L.; Gayral, V.; Rennie, A.; Sukochev, F. A.
19
2012
Measurable operators and the asymptotics of heat kernels and zeta functions. Zbl 1270.46059
Carey, Alan; Sukochev, Fedor
7
2012
Twisted cyclic theory, equivariant \(KK\)-theory and KMS states. Zbl 1218.19002
Carey, Alan L.; Neshveyev, Sergey; Nest, Ryszard; Rennie, Adam
22
2011
Spectral triples: examples and index theory. Zbl 1252.58004
Carey, Alan L.; Phillips, John; Rennie, Adam
11
2011
Modular index invariants of Mumford curves. Zbl 1270.46065
Carey, Alan; Marcolli, Matilde; Rennie, Adam
6
2011
Families of type III KMS states on a class of \(C^*\)-algebras containing \(O_n\) and \({\mathcal Q}_{\mathbb N}\). Zbl 1217.46039
Carey, A. L.; Phillips, J.; Putnam, I. F.; Rennie, A.
5
2011
Twisted cyclic theory and an index theory for the gauge invariant KMS state on the Cuntz algebra \(O_{n}\). Zbl 1220.19004
Carey, A. L.; Phillips, J.; Rennie, A.
10
2010
Noncommutative Atiyah-Patodi-Singer boundary conditions and index pairings in \(KK\)-theory. Zbl 1207.46062
Carey, A. L.; Phillips, J.; Rennie, A.
9
2010
Motives, quantum field theory, and pseudodifferential operators. Based on lectures of the conference, Boston, MA, USA, June 2–13, 2008. Zbl 1205.00080
8
2010
A Dirac type operator on the non-commutative disk. Zbl 1206.46058
Carey, Alan L.; Klimek, Sławomir; Wojciechowski, Krzysztof P.
4
2010
Riemann-Roch and index formulae in twisted \(K\)-theory. Zbl 1210.81080
Carey, Alan L.; Wang, Bai-Ling
1
2010
Operator integrals, spectral shift, and spectral flow. Zbl 1163.47008
Azamov, N. A.; Carey, A. L.; Dodds, P. G.; Sukochev, F. A.
51
2009
Differential twisted K-theory and applications. Zbl 1173.19003
Carey, Alan L.; Mickelsson, Jouko; Wang, Bai-Ling
14
2009
Spectral flow is the integral of one forms on the Banach manifold of self adjoint Fredholm operators. Zbl 1217.58016
Carey, Alan; Potapov, Denis; Sukochev, Fedor
9
2009
Spectral flow invariants and twisted cyclic theory for the Haar state on \(SU_q(2)\). Zbl 1175.46064
Carey, A. L.; Rennie, A.; Tong, K.
7
2009
Thom isomorphism and push-forward map in twisted K-theory. Zbl 1204.55006
Carey, Alan L.; Wang, Bai-Ling
15
2008
The Chern character of semifinite spectral triples. Zbl 1157.46045
Carey, Alan L.; Phillips, John; Rennie, Adam; Sukochev, Fyodor A.
10
2008
Fusion of symmetric D-branes and Verlinde rings. Zbl 1161.53069
Carey, Alan L.; Wang, Bai-Ling
7
2008
Semifinite spectral triples associated with graph \(C^*\)-algebras. Zbl 1159.46040
Carey, Alan L.; Phillips, John; Rennie, Adam
5
2008
The Dixmier trace and asymptotics of zeta functions. Zbl 1128.46022
Carey, Alan L.; Rennie, Adam; Sedaev, Aleksandr; Sukochev, Fyodor
38
2007
The spectral shift function and spectral flow. Zbl 1129.58008
Azamov, N. A.; Carey, A. L.; Sukochev, F. A.
16
2007
The local index formula in semifinite von Neumann algebras. I: Spectral flow. Zbl 1118.46060
Carey, Alan L.; Phillips, John; Rennie, Adam; Sukochev, Fyodor A.
45
2006
Dixmier traces and some applications in non-commutative geometry. Zbl 1151.46053
Carey, A. L.; Sukochev, F. A.
35
2006
The local index formula in semifinite von Neumann algebras. II: the even case. Zbl 1101.46045
Carey, Alan L.; Phillips, John; Rennie, Adam; Sukochev, Fyodor A.
30
2006
An analytic approach to spectral flow in von Neumann algebras. Zbl 1119.58016
Benameur, Moulay-Tahar; Carey, Alan L.; Phillips, John; Rennie, Adam; Sukochev, Fyodor A.; Wojciechowski, Krzysztof P.
24
2006
Quantum Hall effect and noncommutative geometry. Zbl 1104.81088
Carey, Alan L.; Hannabuss, Keith C.; Mathai, Varghese
9
2006
On the relationship of gerbes to the odd families index theorem. Zbl 1105.58015
Carey, Alan L.; Wang, Bai-Ling
1
2006
Bundle gerbes for Chern-Simons and Wess-Zumino-Witten theories. Zbl 1088.58018
Carey, Alan L.; Johnson, Stuart; Murray, Michael K.; Stevenson, Danny; Wang, Bai-Ling
44
2005
\(L^2\)-torsion without the determinant class condition and extended \(L^2\) cohomology. Zbl 1079.55015
Braverman, Maxim; Carey, Alan; Farber, Michael; Mathai, Varghese
8
2005
Spectral flow in Fredholm modules, eta invariants and the JLO cocycle. Zbl 1051.19004
Carey, Alan; Phillips, John
30
2004
The Hochschild class of the Chern character for semifinite spectral triples. Zbl 1058.19002
Carey, Alan L.; Phillips, John; Rennie, Adam; Sukochev, Fyodor A.
30
2004
Holonomy on \(D\)-branes. Zbl 1092.81055
Carey, Alan L.; Johnson, Stuart; Murray, Michael K.
26
2004
On the problem of the amenability of the gauge group. Zbl 1079.43003
Carey, Alan; Grundling, Hendrik
5
2004
Spectral flow and Dixmier traces. Zbl 1015.19003
Carey, Alan; Phillips, John; Sukochev, Fyodor
56
2003
The geometric triangle for 3-dimensional Seiberg-Witten monopoles. Zbl 1038.58006
Carey, A. L.; Marcolli, M.; Wang, B. L.
2
2003
Seiberg-Witten-Floer homology and gluing formulae. Zbl 1041.57013
Carey, Alan L.; Wang, Bai Ling
2
2003
Twisted \(K\)-theory and \(K\)-theory of bundle gerbes. Zbl 1036.19005
Bouwknegt, Peter; Carey, Alan L.; Mathai, Varghese; Murray, Michael K.; Stevenson, Danny
98
2002
The universal Gerbe, Dixmier-Douady class, and gauge theory. Zbl 1003.58022
Carey, Alan L.; Mickelsson, Jouko
17
2002
Loop groups and quantum fields. Zbl 1042.81080
Carey, Alan L.; Langmann, Edwin
5
2002
Hilbert \(C^*\)-systems for actions of the circle group. Zbl 1008.46025
Baumgaertel, H.; Carey, A. L.
3
2001
Bundle gerbes applied to quantum field theory. Zbl 0961.81127
Carey, Alan L.; Mickelsson, Jouko; Murray, Michael K.
21
2000
On unbounded \(p\)-summable Fredholm modules. Zbl 0960.46039
Carey, A. L.; Phillips, J.; Sukochev, F. A.
13
2000
A gerbe obstruction to quantization of fermions on odd-dimensional manifolds with boundary. Zbl 1038.58027
Carey, Alan; Mickelsson, Jouko
7
2000
Quantum group actions on the Cuntz algebra. Zbl 0974.17013
Carey, A. L.; Paolucci, A.; Zhang, R. B.
4
2000
Correspondences, von Neumann algebras and holomorphic \(L^2\) torsion. Zbl 0982.58023
Carey, A.; Farber, M.; Mathai, V.
3
2000
Loop groups, anyons and the Calogero-Sutherland model. Zbl 1044.81708
Carey, Alan L.; Langmann, Edwin
9
1999
Quantum Hall effect on the hyperbolic plane in the presence of disorder. Zbl 1055.81571
Carey, A.; Hannabuss, K.; Mathai, V.
8
1999
Unbounded Fredholm modules and spectral flow. Zbl 0915.46063
Carey, Alan; Phillips, John
49
1998
Quantum Hall effect on the hyperbolic plane. Zbl 0916.46057
Carey, A. L.; Hannabuss, K. C.; Mathai, V.; McCann, P.
29
1998
Principal bundles and the Dixmier Douady class. Zbl 0909.57007
Carey, Alan L.; Crowley, Diarmuid; Murray, Michael K.
9
1998
Von Neumann spectra near the spectral gap. Zbl 0911.58034
Carey, Alan L.; Coulhon, Thierry; Mathai, Varghese; Phillips, John
2
1998
Geometric analysis and Lie theory in mathematics and physics. Zbl 0878.00016
2
1998
Index theory, gerbes, and Hamiltonian quantization. Zbl 0887.58049
Carey, Alan; Mickelsson, Jouko; Murray, Michael
29
1997
Determinant lines, von Neumann algebras and \(L^ 2\) torsion. Zbl 0872.46031
Carey, A.; Farber, M.; Mathai, V.
10
1997
Higher bundle gerbes and cohomology classes in gauge theories. Zbl 0884.55004
Carey, A. L.; Murray, M. K.; Wang, B. L.
7
1997
Seiberg-Witten monopoles in three dimensions. Zbl 0871.58015
Carey, A. L.; Wang, B. L.; Zhang, R. B.; McCarthy, J.
5
1997
Algebraic groups and Lie groups. A volume of papers in honour of the late R. W. Richardson. Zbl 0857.00012
2
1997
Faddeev’s anomaly and bundle gerbes. Zbl 0848.22024
Carey, A. L.; Murray, M. K.
9
1996
A discrete model of the integer quantum Hall effect. Zbl 0858.46048
McCann, Paul J.; Carey, Alan L.
3
1996
Infinite dimensional groups and Riemann surface field theories. Zbl 0849.22021
Carey, A. L.; Hannabuss, K. C.
1
1996
General existence theorems for orthonormal wavelets, an abstract approach. Zbl 0849.42019
Baggett, Larry; Carey, Alan; Moran, William; Ohring, Peter
22
1995
Group actions on C\(^*\)-algebra, 3-cocycles and quantum field theory. Zbl 0823.46064
Carey, A. L.; Grundling, H.; Raeburn, I.; Sutherland, C.
4
1995
Realizing \(3\)-cocycles as obstructions. Zbl 0847.17019
Carey, A. L.; Grundling, H.; Hurst, C. A.; Langmann, E.
3
1995
A Kirillov theory for divisible nilpotent groups. Zbl 0832.20054
Carey, A. L.; Moran, W.; Pearce, C. E. M.
1
1995
The Landau-Lifshitz equation, elliptic curves and the Ward transform. Zbl 0774.35071
Carey, A. L.; Hannabuss, K. C.; Mason, L. J.; Singer, M. A.
4
1993
Hilbert space representations of the gauge groups of some two dimensional field theories. Zbl 0794.46053
Carey, A. L.; Wright, J. D.
1
1993
\(L^ 2\)-torsion invariants. Zbl 0771.57009
Carey, Alan L.; Mathai, Varghese
17
1992
Finite-dimensional algebraic representations of the infinite phylon group. Zbl 0761.53012
Barndorff-Nielsen, O. E.; Blæsild, P.; Carey, A. L.; Jupp, P. E.; Mora, M.; Murray, M. K.
3
1992
Temperature states on gauge groups. Zbl 0769.46052
Carey, A. L.; Hannabuss, K. C.
2
1992
Free fields on Riemann surfaces and spectral curves of the chiral Potts model. Zbl 1102.81312
Carey, A. L.; Hannabuss, K. C.; Murray, M. K.
1
1992
Multiple phases and return to equilibrium. Zbl 0889.46060
Carey, A. L.; Hume, L. R.
1
1992
String structures and the path fibration of a group. Zbl 0734.55006
Carey, A. L.; Murray, M. K.
10
1991
Algebras almost commuting with Clifford algebras in a \(II_{\infty}\) factor. Zbl 0732.46039
Carey, Alan L.; Phillips, John
7
1991
The Pompeiu problem for groups. Zbl 0717.22003
Carey, Alan L.; Kaniuth, Eberhard; Moran, William
5
1991
...and 36 more Documents
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Cited by 765 Authors

86 Sukochev, Fedor Anatol’evich
73 Carey, Alan L.
38 Rennie, Adam
37 Mathai, Varghese
32 Zanin, Dmitriy V.
20 Potapov, Denis
19 Sati, Hisham
17 Schulz-Baldes, Hermann
16 Langmann, Edwin
16 Mickelsson, Jouko
16 Usachev, Aleksandr Sergeevich
14 Murray, Michael K.
14 Waldorf, Konrad
13 Hannabuss, Keith C.
13 Schreiber, Urs
13 Wang, Bailing
12 Phillips, John
12 Skripka, Anna
11 Semënov, Evgeniĭ Mikhaĭlovich
10 Bourne, Chris
10 Gesztesy, Fritz
10 Levitina, Galina Borisovna
10 Mesland, Bram
10 Szabo, Richard J.
8 Gomi, Kiyonori
8 Thiang, Guo Chuan
7 Connes, Alain
7 De Nittis, Giuseppe
7 Grosse, Harald
7 Grundling, Hendrik B. G. S.
7 Hekmati, Pedram
7 Iochum, Bruno
7 Kaad, Jens
7 Klimek, Slawomir
7 McDonald, Edward Andrew
7 Stevenson, Danny
6 Benameur, Moulay-Tahar
6 Bunk, Severin
6 Goffeng, Magnus
6 Léandre, Rémi
6 Lord, Steven
6 Marcolli, Matilde
6 Prodan, Emil
6 Sims, Aidan
6 Vozzo, Raymond F.
5 Andruchow, Esteban
5 Azamov, Nurulla A.
5 Baggett, Lawrence Wasson
5 Blümlein, Johannes
5 Bouwknegt, Peter G.
5 Chiumiento, Eduardo
5 Conti, Roberto
5 Evans, David E.
5 Gawędzki, Krzysztof
5 Gayral, Victor
5 Han, Fei
5 Jørgensen, Palle E. T.
5 Le Merdy, Christian
5 Mcbride, Matt
5 Nest, Ryszard
5 Packer, Judith A.
5 Peller, Vladimir Vsevolodovich
5 Schneider, Carsten
5 Sedaev, Alexander A.
5 Su, Guangxiang
5 Tomskova, Anna
5 van Suijlekom, Walter Daniël
5 Várilly, Joseph C.
4 Ablinger, Jakob
4 Aleksandrov, Aleksei B.
4 Beltiţă, Daniel
4 Bunke, Ulrich
4 Chattopadhyay, Arup
4 Coine, Clement
4 De Freitas, Abilio
4 Doll, Nora
4 Fidaleo, Francesco
4 Fiorenza, Domenico
4 Guido, Daniele
4 Hurst, Charles Angas
4 Isola, Tommaso
4 Jurčo, Branislav
4 Kaniuth, Eberhard
4 Kellendonk, Johannes
4 Larotonda, Gabriel
4 Lück, Wolfgang
4 Merrill, Kathy D.
4 Moran, William
4 Nikolaus, Thomas
4 Palmer, John N.
4 Ponge, Raphaël S.
4 Sakbaev, Vsevolod Zhanovich
4 Sämann, Christian
4 Sitarz, Andrzej
4 Stoiber, Tom
4 Von Manteuffel, Andreas
3 Aiello, Valeriano
3 Aniello, Paolo
3 Arici, Francesca
3 Azzali, Sara
...and 665 more Authors
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Cited in 156 Serials

92 Communications in Mathematical Physics
87 Journal of Functional Analysis
55 Journal of Geometry and Physics
48 Journal of Mathematical Physics
39 Advances in Mathematics
29 Reviews in Mathematical Physics
28 Journal of Noncommutative Geometry
25 Letters in Mathematical Physics
23 Proceedings of the American Mathematical Society
13 Integral Equations and Operator Theory
13 Annales Henri Poincaré
11 Journal of Mathematical Analysis and Applications
11 The Journal of Fourier Analysis and Applications
11 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
10 Transactions of the American Mathematical Society
8 Nuclear Physics. B
8 Acta Applicandae Mathematicae
8 Annales de l’Institut Henri Poincaré. Physique Théorique
8 Algebraic & Geometric Topology
8 Journal of the Australian Mathematical Society
7 Reports on Mathematical Physics
7 Journal für die Reine und Angewandte Mathematik
7 Publications of the Research Institute for Mathematical Sciences, Kyoto University
7 International Journal of Geometric Methods in Modern Physics
7 Journal of Physics A: Mathematical and Theoretical
7 Journal of \(K\)-Theory
6 International Journal of Mathematics
6 Communications in Contemporary Mathematics
6 Journal of Homotopy and Related Structures
5 International Journal of Theoretical Physics
5 Mathematische Annalen
5 Mathematische Zeitschrift
5 \(K\)-Theory
5 Expositiones Mathematicae
5 Mathematical Physics, Analysis and Geometry
5 Journal of High Energy Physics
5 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 Journal of Topology and Analysis
5 Journal of Spectral Theory
4 Mathematical Proceedings of the Cambridge Philosophical Society
4 Physics Letters. B
4 The Journal of Geometric Analysis
4 Documenta Mathematica
4 Infinite Dimensional Analysis, Quantum Probability and Related Topics
3 Theoretical and Mathematical Physics
3 Fortschritte der Physik
3 Annales de l’Institut Fourier
3 Bulletin of the London Mathematical Society
3 Inventiones Mathematicae
3 Mathematische Nachrichten
3 Ergodic Theory and Dynamical Systems
3 Annals of Physics
3 Russian Mathematics
3 Geometry & Topology
3 Journal of Topology
3 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
3 Annals of \(K\)-Theory
2 Modern Physics Letters A
2 International Journal of Modern Physics A
2 Bulletin of the Australian Mathematical Society
2 Classical and Quantum Gravity
2 General Relativity and Gravitation
2 Israel Journal of Mathematics
2 Journal d’Analyse Mathématique
2 Mathematical Notes
2 Physics Letters. A
2 Studia Mathematica
2 Dissertationes Mathematicae
2 Duke Mathematical Journal
2 Journal of Algebra
2 Journal of the London Mathematical Society. Second Series
2 Memoirs of the American Mathematical Society
2 Monatshefte für Mathematik
2 Pacific Journal of Mathematics
2 Topology and its Applications
2 Journal of Mathematical Sciences (New York)
2 St. Petersburg Mathematical Journal
2 Annales Mathématiques Blaise Pascal
2 Journal of Lie Theory
2 Bulletin des Sciences Mathématiques
2 Opuscula Mathematica
2 Algebras and Representation Theory
2 Acta Mathematica Sinica. English Series
2 Oberwolfach Reports
2 Complex Analysis and Operator Theory
2 Operators and Matrices
2 Banach Journal of Mathematical Analysis
2 Kyoto Journal of Mathematics
1 Computer Physics Communications
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Journal of Statistical Physics
1 Rocky Mountain Journal of Mathematics
1 Russian Mathematical Surveys
1 The Mathematical Intelligencer
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Canadian Journal of Mathematics
1 Canadian Mathematical Bulletin
1 Functional Analysis and its Applications
1 Gaṇita
1 Geometriae Dedicata
...and 56 more Serials
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Cited in 52 Fields

313 Functional analysis (46-XX)
291 Quantum theory (81-XX)
225 Global analysis, analysis on manifolds (58-XX)
174 Operator theory (47-XX)
127 \(K\)-theory (19-XX)
126 Differential geometry (53-XX)
119 Topological groups, Lie groups (22-XX)
79 Algebraic topology (55-XX)
72 Manifolds and cell complexes (57-XX)
52 Statistical mechanics, structure of matter (82-XX)
44 Abstract harmonic analysis (43-XX)
40 Harmonic analysis on Euclidean spaces (42-XX)
34 Algebraic geometry (14-XX)
34 Partial differential equations (35-XX)
28 Nonassociative rings and algebras (17-XX)
27 Relativity and gravitational theory (83-XX)
26 Group theory and generalizations (20-XX)
24 Category theory; homological algebra (18-XX)
19 Dynamical systems and ergodic theory (37-XX)
17 Probability theory and stochastic processes (60-XX)
13 Linear and multilinear algebra; matrix theory (15-XX)
12 Sequences, series, summability (40-XX)
10 Number theory (11-XX)
10 Functions of a complex variable (30-XX)
8 Numerical analysis (65-XX)
7 Measure and integration (28-XX)
7 Convex and discrete geometry (52-XX)
7 Mechanics of particles and systems (70-XX)
6 General topology (54-XX)
6 Statistics (62-XX)
5 Combinatorics (05-XX)
5 Potential theory (31-XX)
5 Special functions (33-XX)
4 General and overarching topics; collections (00-XX)
4 Associative rings and algebras (16-XX)
4 Several complex variables and analytic spaces (32-XX)
4 Ordinary differential equations (34-XX)
4 Difference and functional equations (39-XX)
4 Approximations and expansions (41-XX)
4 Integral equations (45-XX)
4 Information and communication theory, circuits (94-XX)
3 Real functions (26-XX)
3 Optics, electromagnetic theory (78-XX)
2 Commutative algebra (13-XX)
2 Integral transforms, operational calculus (44-XX)
2 Geometry (51-XX)
2 Computer science (68-XX)
1 Mathematical logic and foundations (03-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 General algebraic systems (08-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Fluid mechanics (76-XX)

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