Edit Profile (opens in new tab) Carey, Alan L. Co-Author Distance Author ID: carey.alan-l Published as: Carey, A. L.; Carey, Alan L.; Carey, Alan; Carey, A.; Carey, A. L more...less External Links: MGP · Wikidata · GND Documents Indexed: 166 Publications since 1976, including 3 Books and 5 Additional arXiv Preprints 6 Contributions as Editor Co-Authors: 90 Co-Authors with 159 Joint Publications 2,368 Co-Co-Authors 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, Anthony 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 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 Pure and Applied Functional Analysis 1 Proceedings of the American Mathematical Society. Series B 1 ESI Lectures in Mathematics and Physics 1 Memoirs of the European Mathematical Society all top 5 Fields 78 Functional analysis (46-XX) 62 Global analysis, analysis on manifolds (58-XX) 57 Quantum theory (81-XX) 34 \(K\)-theory (19-XX) 32 Topological groups, Lie groups (22-XX) 32 Operator theory (47-XX) 14 Algebraic topology (55-XX) 12 Differential geometry (53-XX) 12 Manifolds and cell complexes (57-XX) 10 Abstract harmonic analysis (43-XX) 9 Nonassociative rings and algebras (17-XX) 8 Statistical mechanics, structure of matter (82-XX) 6 General and overarching topics; collections (00-XX) 6 Algebraic geometry (14-XX) 6 Partial differential equations (35-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Group theory and generalizations (20-XX) 3 Functions of a complex variable (30-XX) 3 Optics, electromagnetic theory (78-XX) 2 History and biography (01-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Statistics (62-XX) 1 Number theory (11-XX) 1 Associative rings and algebras (16-XX) 1 Ordinary differential equations (34-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Geometry (51-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 136 Publications have been cited 1,571 times in 886 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 97 2002 Spectral flow and Dixmier traces. Zbl 1015.19003 Carey, Alan; Phillips, John; Sukochev, Fyodor 58 2003 Operator integrals, spectral shift, and spectral flow. Zbl 1163.47008 Azamov, N. A.; Carey, A. L.; Dodds, P. G.; Sukochev, F. A. 55 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 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 45 2005 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. 43 2006 The Dixmier trace and asymptotics of zeta functions. Zbl 1128.46022 Carey, Alan L.; Rennie, Adam; Sedaev, Aleksandr; Sukochev, Fyodor 39 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. 34 2016 Index theory, gerbes, and Hamiltonian quantization. Zbl 0887.58049 Carey, Alan; Mickelsson, Jouko; Murray, Michael 31 1997 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. 30 1998 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 Spectral flow in Fredholm modules, eta invariants and the JLO cocycle. Zbl 1051.19004 Carey, Alan; Phillips, John 30 2004 Holonomy on \(D\)-branes. Zbl 1092.81055 Carey, Alan L.; Johnson, Stuart; Murray, Michael K. 27 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 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. 25 2006 Square-integrable representations of non-unimodular groups. Zbl 0327.22008 Carey, A. L. 25 1976 Twisted cyclic theory, equivariant \(KK\)-theory and KMS states. Zbl 1218.19002 Carey, Alan L.; Neshveyev, Sergey; Nest, Ryszard; Rennie, Adam 24 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. 20 2012 \(L^ 2\)-torsion invariants. Zbl 0771.57009 Carey, Alan L.; Mathai, Varghese 19 1992 Thom isomorphism and push-forward map in twisted K-theory. Zbl 1204.55006 Carey, Alan L.; Wang, Bai-Ling 18 2008 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 The spectral shift function and spectral flow. Zbl 1129.58008 Azamov, N. A.; Carey, A. L.; Sukochev, F. A. 16 2007 Some homogeneous spaces and representations of the Hilbert Lie group \({\mathcal U}(H)_ 2\). Zbl 0581.22019 Carey, A. L. 15 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. 14 1983 A note on the Boson-Fermion correspondence and infinite dimensional groups. Zbl 0577.46067 Carey, A. L.; Hurst, C. A. 14 1985 Group representations in reproducing kernel Hilbert spaces. Zbl 0418.22004 Carey, A. L. 14 1978 Spectral triples: examples and index theory. Zbl 1252.58004 Carey, Alan L.; Phillips, John; Rennie, Adam 14 2011 Differential twisted K-theory and applications. Zbl 1173.19003 Carey, Alan L.; Mickelsson, Jouko; Wang, Bai-Ling 14 2009 Spectral flow for skew-adjoint Fredholm operators. Zbl 1472.58017 Carey, Alan L.; Phillips, John; Schulz-Baldes, Hermann 14 2019 Characters of nilpotent groups. Zbl 0549.43004 Carey, A. L.; Moran, W. 13 1984 On unbounded \(p\)-summable Fredholm modules. Zbl 0960.46039 Carey, A. L.; Phillips, J.; Sukochev, F. A. 13 2000 Determinant lines, von Neumann algebras and \(L^ 2\) torsion. Zbl 0872.46031 Carey, A.; Farber, M.; Mathai, V. 12 1997 String structures and the path fibration of a group. Zbl 0734.55006 Carey, A. L.; Murray, M. K. 11 1991 Loop groups, anyons and the Calogero-Sutherland model. Zbl 1044.81708 Carey, Alan L.; Langmann, Edwin 11 1999 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. 11 2010 The Chern character of semifinite spectral triples. Zbl 1157.46045 Carey, Alan L.; Phillips, John; Rennie, Adam; Sukochev, Fyodor A. 10 2008 Quantum Hall effect and noncommutative geometry. Zbl 1104.81088 Carey, Alan L.; Hannabuss, Keith C.; Mathai, Varghese 10 2006 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 Faddeev’s anomaly and bundle gerbes. Zbl 0848.22024 Carey, A. L.; Murray, M. K. 9 1996 On \({\mathcal O}_{n+1}\). Zbl 0562.46033 Araki, H.; Carey, A. L.; Evans, D. E. 9 1984 Infinite complex spin groups. Zbl 0714.22015 Carey, Alan; Palmer, John 9 1989 Temperature states on loop groups, theta functions and the Luttinger model. Zbl 0633.46068 Carey, A. L.; Hannabuss, K. C. 9 1987 Noncommutative Atiyah-Patodi-Singer boundary conditions and index pairings in \(KK\)-theory. Zbl 1207.46062 Carey, A. L.; Phillips, J.; Rennie, A. 9 2010 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 Induced representations, reproducing kernels and the conformal group. Zbl 0339.43007 Carey, A. L. 9 1977 \(L^2\)-torsion without the determinant class condition and extended \(L^2\) cohomology. Zbl 1079.55015 Braverman, Maxim; Carey, Alan; Farber, Michael; Mathai, Varghese 9 2005 Principal bundles and the Dixmier Douady class. Zbl 0909.57007 Carey, Alan L.; Crowley, Diarmuid; Murray, Michael K. 9 1998 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 9 2018 Absence of vacuum polarisation in Fock space. Zbl 0515.46074 Carey, A. L.; O’Brien, D. M. 8 1982 Spectral flow for nonunital spectral triples. Zbl 1365.46065 Carey, Alan L.; Gayral, Victor; Phillips, John; Rennie, Adam; Sukochev, Fedor A. 8 2015 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 Quantum Hall effect on the hyperbolic plane in the presence of disorder. Zbl 1055.81571 Carey, A.; Hannabuss, K.; Mathai, V. 8 1999 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 gerbe obstruction to quantization of fermions on odd-dimensional manifolds with boundary. Zbl 1038.58027 Carey, Alan; Mickelsson, Jouko 7 2000 On characteristic identities for Lie algebras. Zbl 0359.17003 O’Brien, D. M.; Cant, A.; Carey, A. L. 7 1977 \(K\)-cycles for twisted \(K\)-homology. Zbl 1300.19003 Baum, Paul; Carey, Alan; Wang, Bai-Ling 7 2013 Fusion of symmetric D-branes and Verlinde rings. Zbl 1161.53069 Carey, Alan L.; Wang, Bai-Ling 7 2008 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 Measurable operators and the asymptotics of heat kernels and zeta functions. Zbl 1270.46059 Carey, Alan; Sukochev, Fedor 7 2012 Infinite dimensional groups and quantum field theory. Zbl 0545.22019 Carey, A. L. 6 1983 Modular index invariants of Mumford curves. Zbl 1270.46065 Carey, Alan; Marcolli, Matilde; Rennie, Adam 6 2011 A \(C^*\)-algebra formulation of the quantization of the electromagnetic field. Zbl 0348.46056 Carey, A. L.; Gaffney, J. M.; Hurst, C. A. 6 1977 Spectral flow of monopole insertion in topological insulators. Zbl 1422.81102 Carey, Alan L.; Schulz-Baldes, Hermann 6 2019 Higher spectral flow and an entire bivariant JLO cocycle. Zbl 1276.58002 Benameur, Moulay-Tahar; Carey, Alan L. 6 2013 Universal measurability and the Hochschild class of the Chern character. Zbl 1361.46050 Carey, Alan L.; Rennie, Adam; Sukochev, Fedor; Zanin, Dmitriy 6 2016 The Pompeiu problem for groups. Zbl 0717.22003 Carey, Alan L.; Kaniuth, Eberhard; Moran, William 5 1991 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. 5 1993 Anomalies of Dirac type operators on Euclidean space. Zbl 1321.47026 Carey, Alan; Grosse, Harald; Kaad, Jens 5 2015 Semifinite spectral triples associated with graph \(C^*\)-algebras. Zbl 1159.46040 Carey, Alan L.; Phillips, John; Rennie, Adam 5 2008 On the problem of the amenability of the gauge group. Zbl 1079.43003 Carey, Alan; Grundling, Hendrik 5 2004 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 Loop groups and quantum fields. Zbl 1042.81080 Carey, Alan L.; Langmann, Edwin 5 2002 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 On the index of a non-Fredholm model operator. Zbl 1356.47018 Carey, Alan; Gesztesy, Fritz; Levitina, Galina; Sukochev, Fedor 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 5 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 Algebras almost commuting with Clifford algebras. Zbl 0725.46042 Carey, A. L.; Evans, D. E. 4 1990 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 Riemann surfaces, Clifford algebras and infinite dimensional groups. Zbl 0721.30034 Carey, A. L.; Eastwood, M. G.; Hannabuss, K. C. 4 1990 Quantum group actions on the Cuntz algebra. Zbl 0974.17013 Carey, A. L.; Paolucci, A.; Zhang, R. B. 4 2000 The local index formula in noncommutative geometry revisited. Zbl 1297.19007 Carey, Alan L.; Phillips, John; Rennie, Adam; Sukochev, Fedor A. 4 2013 A Dirac type operator on the non-commutative disk. Zbl 1206.46058 Carey, Alan L.; Klimek, Sławomir; Wojciechowski, Krzysztof P. 4 2010 Twistors and geometric quantisation theory. Zbl 0406.58018 Carey, A. L.; Hannabuss, K. C. 4 1978 Holonomy and the Wess-Zumino term. Zbl 0623.58027 Carey, A. L.; Murray, M. K. 4 1986 Seiberg-Witten monopoles in three dimensions. Zbl 0871.58015 Carey, A. L.; Wang, B. L.; Zhang, R. B.; McCarthy, J. 4 1997 Some infinite dimensional groups and bundles. Zbl 0575.46059 Carey, A. L. 4 1984 L\({}^ 2\)-acyclicity and \(L^ 2\)-torsion invariants. Zbl 0726.57018 Mathai, Varghese; Carey, Alan L. 3 1990 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. 3 1992 Realizing \(3\)-cocycles as obstructions. Zbl 0847.17019 Carey, A. L.; Grundling, H.; Hurst, C. A.; Langmann, E. 3 1995 A discrete model of the integer quantum Hall effect. Zbl 0858.46048 McCann, Paul J.; Carey, Alan L. 3 1996 Higher-order tensors, strings and new tensors. Zbl 0712.53013 Carey, A. L.; Murray, M. K. 3 1990 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 3 2023 The \(\text{KO}\)-valued spectral flow for skew-adjoint Fredholm operators. Zbl 1496.19002 Bourne, Chris; Carey, Alan L.; Lesch, Matthias; Rennie, Adam 3 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 3 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 14 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 9 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. 34 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 On the index of a non-Fredholm model operator. Zbl 1356.47018 Carey, Alan; Gesztesy, Fritz; Levitina, Galina; Sukochev, Fedor 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 5 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 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 The spectral shift function and the Witten index. Zbl 06981831 Carey, Alan; Gesztesy, Fritz; Levitina, Galina; 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 \(K\)-cycles for twisted \(K\)-homology. Zbl 1300.19003 Baum, Paul; Carey, Alan; Wang, Bai-Ling 7 2013 Higher spectral flow and an entire bivariant JLO cocycle. Zbl 1276.58002 Benameur, Moulay-Tahar; Carey, Alan L. 6 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. 20 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 24 2011 Spectral triples: examples and index theory. Zbl 1252.58004 Carey, Alan L.; Phillips, John; Rennie, Adam 14 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. 11 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 2 2010 Operator integrals, spectral shift, and spectral flow. Zbl 1163.47008 Azamov, N. A.; Carey, A. L.; Dodds, P. G.; Sukochev, F. A. 55 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 18 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 39 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. 43 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. 25 2006 Quantum Hall effect and noncommutative geometry. Zbl 1104.81088 Carey, Alan L.; Hannabuss, Keith C.; Mathai, Varghese 10 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 45 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 9 2005 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 Spectral flow in Fredholm modules, eta invariants and the JLO cocycle. Zbl 1051.19004 Carey, Alan; Phillips, John 30 2004 Holonomy on \(D\)-branes. Zbl 1092.81055 Carey, Alan L.; Johnson, Stuart; Murray, Michael K. 27 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 58 2003 Seiberg-Witten-Floer homology and gluing formulae. Zbl 1041.57013 Carey, Alan L.; Wang, Bai Ling 2 2003 The geometric triangle for 3-dimensional Seiberg-Witten monopoles. Zbl 1038.58006 Carey, A. L.; Marcolli, M.; Wang, B. L. 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 97 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 11 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. 30 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 31 1997 Determinant lines, von Neumann algebras and \(L^ 2\) torsion. Zbl 0872.46031 Carey, A.; Farber, M.; Mathai, V. 12 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. 4 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. 5 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 19 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. 3 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. 11 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 all cited Publications top 5 cited Publications all top 5 Cited by 797 Authors 87 Sukochev, Fedor Anatol’evich 73 Carey, Alan L. 38 Rennie, Adam 37 Mathai, Varghese 33 Zanin, Dmitriy V. 20 Potapov, Denis 20 Sati, Hisham 18 Langmann, Edwin 18 Usachev, Aleksandr Sergeevich 17 Mickelsson, Jouko 17 Schulz-Baldes, Hermann 15 Waldorf, Konrad 14 Murray, Michael K. 14 Schreiber, Urs 13 Hannabuss, Keith C. 13 Wang, Bailing 12 Phillips, John 12 Skripka, Anna 11 Levitina, Galina Borisovna 11 Semënov, Evgeniĭ Mikhaĭlovich 10 Bourne, Chris 10 Gesztesy, Fritz 10 McDonald, Edward Andrew 10 Mesland, Bram 10 Szabo, Richard J. 8 Goffeng, Magnus 8 Gomi, Kiyonori 8 Kaad, Jens 8 Thiang, Guo Chuan 7 Benameur, Moulay-Tahar 7 Chiumiento, Eduardo 7 Connes, Alain 7 De Nittis, Giuseppe 7 Grosse, Harald 7 Grundling, Hendrik B. G. S. 7 Hekmati, Pedram 7 Iochum, Bruno 7 Klimek, Slawomir 7 Léandre, Rémi 7 Peller, Vladimir Vsevolodovich 7 Prodan, Emil 7 Stevenson, Danny 6 Bunk, Severin 6 Lord, Steven 6 Marcolli, Matilde 6 Sims, Aidan 6 Vozzo, Raymond F. 5 Aleksandrov, Aleksei B. 5 Andruchow, Esteban 5 Azamov, Nurulla A. 5 Baggett, Lawrence Wasson 5 Blümlein, Johannes 5 Bouwknegt, Peter G. 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 Lück, Wolfgang 5 Mcbride, Matt 5 Nest, Ryszard 5 Packer, Judith A. 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 Beltiţă, Daniel 4 Bunke, Ulrich 4 Chattopadhyay, Arup 4 Coine, Clement 4 De Freitas, Abilio 4 Doll, Nora 4 Eckhardt, Caleb 4 Fidaleo, Francesco 4 Fiorenza, Domenico 4 Green, William R. 4 Guido, Daniele 4 Hurst, Charles Angas 4 Isola, Tommaso 4 Jurčo, Branislav 4 Kaniuth, Eberhard 4 Kellendonk, Johannes 4 Larotonda, Gabriel 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 ...and 697 more Authors all top 5 Cited in 163 Serials 96 Communications in Mathematical Physics 89 Journal of Functional Analysis 56 Journal of Geometry and Physics 49 Journal of Mathematical Physics 41 Advances in Mathematics 29 Reviews in Mathematical Physics 28 Journal of Noncommutative Geometry 26 Letters in Mathematical Physics 24 Proceedings of the American Mathematical Society 14 Annales Henri Poincaré 13 Integral Equations and Operator Theory 11 Journal of Mathematical Analysis and Applications 11 The Journal of Fourier Analysis and Applications 11 SIGMA. 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Series II 2 Topology and its Applications 2 Forum Mathematicum 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 Journal of Nonlinear Mathematical Physics 2 Oberwolfach Reports 2 Operators and Matrices 2 Banach Journal of Mathematical Analysis 2 Kyoto Journal of Mathematics 1 Computer Physics Communications 1 Houston Journal of Mathematics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Statistical Physics 1 Rocky Mountain Journal of Mathematics 1 The Mathematical Intelligencer 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série ...and 63 more Serials all top 5 Cited in 52 Fields 328 Functional analysis (46-XX) 301 Quantum theory (81-XX) 239 Global analysis, analysis on manifolds (58-XX) 187 Operator theory (47-XX) 135 \(K\)-theory (19-XX) 129 Differential geometry (53-XX) 127 Topological groups, Lie groups (22-XX) 82 Algebraic topology (55-XX) 73 Manifolds and cell complexes (57-XX) 53 Statistical mechanics, structure of matter (82-XX) 46 Abstract harmonic analysis (43-XX) 42 Harmonic analysis on Euclidean spaces (42-XX) 36 Partial differential equations (35-XX) 35 Algebraic geometry (14-XX) 31 Relativity and gravitational theory (83-XX) 29 Nonassociative rings and algebras (17-XX) 27 Category theory; homological algebra (18-XX) 27 Group theory and generalizations (20-XX) 20 Dynamical systems and ergodic theory (37-XX) 20 Probability theory and stochastic processes (60-XX) 13 Linear and multilinear algebra; matrix theory (15-XX) 12 Sequences, series, summability (40-XX) 11 Functions of a complex variable (30-XX) 10 Number theory (11-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 Combinatorics (05-XX) 6 General topology (54-XX) 5 Associative rings and algebras (16-XX) 5 Potential theory (31-XX) 5 Special functions (33-XX) 5 Statistics (62-XX) 4 General and overarching topics; collections (00-XX) 4 Real functions (26-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 Optics, electromagnetic theory (78-XX) 4 Information and communication theory, circuits (94-XX) 3 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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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