×

\(K\)-Theory

An Interdisciplinary Journal for the Development, Application, and Influence of \(K\)-Theory in the Mathematical Sciences

Short Title: \(K\)-Theory
Publisher: Springer, Dordrecht
ISSN: 0920-3036; 1573-0514/e
Online: http://access.portico.org/stable?cs=ISSN_09203036
Comments: No longer indexed
Documents Indexed: 662 Publications (1987–2008)
References Indexed: 332 Publications with 6,715 References.
all top 5

Latest Issues

38, No. 2 (2008)
38, No. 1 (2007)
37, No. 4 (2006)
37, No. 3 (2006)
37, No. 1-2 (2006)
36, No. 3-4 (2005)
36, No. 1-2 (2005)
35, No. 3-4 (2005)
35, No. 1-2 (2005)
34, No. 4 (2005)
34, No. 3 (2005)
34, No. 2 (2005)
34, No. 1 (2005)
33, No. 4 (2004)
33, No. 3 (2004)
33, No. 2 (2004)
33, No. 1 (2004)
32, No. 4 (2004)
32, No. 3 (2004)
32, No. 2 (2004)
32, No. 1 (2004)
31, No. 4 (2004)
31, No. 3 (2004)
31, No. 2 (2004)
31, No. 1 (2004)
30, No. 4 (2003)
30, No. 3 (2003)
30, No. 2 (2003)
30, No. 1 (2003)
29, No. 4 (2003)
29, No. 3 (2003)
29, No. 2 (2003)
29, No. 1 (2003)
28, No. 4 (2003)
28, No. 3 (2003)
28, No. 2 (2003)
28, No. 1 (2003)
27, No. 4 (2002)
27, No. 3 (2002)
27, No. 2 (2002)
27, No. 1 (2002)
26, No. 4 (2002)
26, No. 3 (2002)
26, No. 2 (2002)
26, No. 1 (2002)
25, No. 4 (2002)
25, No. 3 (2002)
25, No. 2 (2002)
25, No. 1 (2002)
24, No. 4 (2001)
24, No. 3 (2001)
24, No. 2 (2001)
24, No. 1 (2001)
23, No. 4 (2001)
23, No. 3 (2001)
23, No. 2 (2001)
23, No. 1 (2001)
22, No. 4 (2001)
22, No. 3 (2001)
22, No. 1-2 (2001)
21, No. 4 (2000)
21, No. 3 (2000)
21, No. 2 (2000)
21, No. 1 (2000)
20, No. 4 (2000)
20, No. 3 (2000)
20, No. 2 (2000)
20, No. 1 (2000)
19, No. 4 (2000)
19, No. 3 (2000)
19, No. 2 (2000)
19, No. 1 (2000)
18, No. 4 (1999)
18, No. 3 (1999)
18, No. 2 (1999)
18, No. 1 (1999)
17, No. 4 (1999)
17, No. 3 (1999)
17, No. 2 (1999)
17, No. 1 (1999)
16, No. 4 (1999)
16, No. 3 (1999)
16, No. 2 (1999)
16, No. 1 (1999)
15, No. 4 (1998)
15, No. 3 (1998)
15, No. 2 (1998)
15, No. 1 (1998)
14, No. 4 (1998)
14, No. 3 (1998)
14, No. 2 (1998)
14, No. 1 (1998)
13, No. 4 (1998)
13, No. 3 (1998)
13, No. 2 (1998)
13, No. 1 (1998)
12, No. 4 (1997)
12, No. 3 (1997)
12, No. 2 (1997)
12, No. 1 (1997)
...and 61 more Volumes
all top 5

Authors

9 Baues, Hans-Joachim
8 Levine, Marc Noel
8 Weibel, Charles A.
7 Lück, Wolfgang
7 Mitchell, Stephen Ames
7 Yu, Guoliang
6 Baum, Paul Frank
6 Khalkhali, Masoud
5 Caenepeel, Stefaan
5 Dadarlat, Marius
5 Esnault, Hélène
5 Grayson, Daniel Richard
5 Kahn, Bruno
5 Merkur’ev, Aleksandr Sergeevich
5 Minian, Elias Gabriel
5 Morimoto, Masaharu
5 Panin, Ivan A.
5 Roe, John
5 Thomsen, Klaus E.
5 van Oystaeyen, Freddy
4 Bak, Anthony
4 Brylinski, Jean-Luc
4 Farrell, F. Thomas
4 Guccione, Jorge Alberto
4 Heitsch, James L.
4 Higson, Nigel
4 Ji, Ronghui
4 Jones, Lowell Edwin
4 Karoubi, Max
4 Kassel, Christian
4 Pedersen, Erik Kjær
4 Kuku, Aderemi O.
4 Nistor, Victor
4 Østvær, Paul Arne
4 Porter, Timothy
4 Ranicki, Andrew Alexander
4 Rørdam, Mikael
4 Zekri, Richard
3 Anderson, Douglas Ross
3 Benameur, Moulay-Tahar
3 Carlsson, Gunnar E.
3 Cortiñas, Guillermo H.
3 Cuntz, Joachim
3 Davis, James Frederic
3 Elliott, George A.
3 Fiedorowicz, Zbigniew
3 Gajda, Wojciech
3 Goodwillie, Thomas Gehret
3 Guccione, Juan José
3 Hajac, Piotr M.
3 Igusa, Kiyoshi
3 Inassaridze, Hvedri
3 Jardine, John Frederick
3 Joshua, Roy
3 Kuhn, Nicholas J.
3 Lack, Stephen
3 Lesniewski, Andrzej
3 Loring, Terry A.
3 Müller-Stach, Stefan J.
3 Neeman, Amnon
3 Nenashev, Alexander
3 Nicas, Andrew J.
3 Ogle, Crichton
3 Pajitnov, Andrei Vladimirovich
3 Parimala, Raman
3 Pedrini, Claudio
3 Rognes, John
3 Rosenberg, Jonathan Micah
3 Rosenschon, Andreas
3 Schochet, Claude L.
3 Skandalis, Georges
3 Smith, S. Paul
3 Snaith, Victor Percy
3 Sridharan, Ramaiyengar
3 Torrecillas Jover, Blas
3 Tu, Jean-Louis
3 Vaknin, Avishay
3 Verschoren, Alain H. M. J.
3 Walker, Mark E.
3 Yao, Dongyuan
2 Al Amrani, Abdallah
2 Ara, Pere
2 Asakura, Masanori
2 Badzioch, Bernard
2 Balmer, Paul
2 Banaszak, Grzegorz
2 Barge, Jean
2 Basu, Devraj
2 Betley, Stanislaw
2 Bhatwadekar, Srikant M.
2 Biswas, Indranil
2 Bochnak, Jacek
2 Boersema, Jeffrey L.
2 Braverman, Maxim
2 Carey, Alan L.
2 Cathelineau, Jean-Louis
2 Cibils, Claude
2 Cohen, Ralph L.
2 Colliot-Thélène, Jean-Louis
2 Connes, Alain
...and 494 more Authors

Publications by Year

Citations contained in zbMATH Open

597 Publications have been cited 6,329 times in 4,447 Documents Cited by Year
The Baum-Connes conjecture for amenable foliations. (La conjecture de Baum-Connes pour les feuilletages moyennables.) Zbl 0939.19001
Tu, Jean-Louis
115
1999
A theory of dimension. Zbl 0874.18005
Longo, R.; Roberts, J. E.
105
1997
Calculus. II: Analytic functors. Zbl 0776.55008
Goodwillie, Thomas G.
99
1992
Spaces over a category and assembly maps in isomorphism conjectures in \(K\)- and \(L\)-theory. Zbl 0921.19003
Davis, James F.; Lück, Wolfgang
89
1998
Generalized divisors on Gorenstein schemes. Zbl 0826.14005
Hartshorne, Robin
83
1994
Support varieties for selfinjective algebras. Zbl 1116.16007
Erdmann, Karin; Holloway, Miles; Taillefer, Rachel; Snashall, Nicole; Solberg, Øyvind
68
2004
Approximately central matrix units and the structure of noncommutative tori. Zbl 0813.46064
Blackadar, Bruce; Kumjian, Alexander; Rørdam, Mikael
66
1992
Calculus. I: The first derivative of pseudoisotopy theory. Zbl 0741.57021
Goodwillie, Thomas G.
65
1990
Decomposition of transvections: A theme with variations. Zbl 0944.20031
Stepanov, Alexei; Vavilov, Nikolai
65
2000
Torsion in \(K_ 2\) of fields. Zbl 0635.12015
Suslin, A. A.
65
1987
Entire cyclic cohomology of Banach algebras and characters of \(\theta\)- summable Fredholm modules. Zbl 0657.46049
Connes, A.
64
1988
Orbifolds, sheaves and groupoids. Zbl 0883.22005
Moerdijk, I.; Pronk, D. A.
59
1997
Classification of Cuntz-Krieger algebras. Zbl 0826.46064
Rørdam, Mikael
59
1995
Riemann-Roch theorems for Deligne-Mumford stacks. (Théorèmes de Riemann-Roch pour les champs de Deligne-Mumford.) Zbl 0946.14004
Toen, B.
58
1999
Nonabelian \(K\)-theory: The nilpotent class of \(K_ 1\) and general stability. Zbl 0741.19001
Bak, Anthony
57
1991
\(K_0\) of purely infinite simple regular rings. Zbl 1012.16013
Ara, P.; Goodearl, K. R.; Pardo, E.
54
2002
\(C^*\)-algèbres de Hopf et théorie de Kasparov équivariante. (Hopf \(C^*\)-algebras and equivariant Kasparov theory). Zbl 0683.46048
Baaj, Saad; Skandalis, Georges
51
1989
A new look at KK-theory. Zbl 0636.55001
Cuntz, Joachim
50
1987
Une notion de nucléarité en K-théorie (d’après J. Cuntz). (A notion of nuclearity in K-theory (in the sense of J. Cuntz)). Zbl 0653.46065
Skandalis, Georges
50
1988
The \(KK\)-product of unbounded modules. Zbl 0871.19004
Kucerovsky, Dan
49
1997
Equivariant spectral triples on the quantum SU(2) group. Zbl 1028.58005
Chakraborty, Partha Sarathi; Pal, Arupkumar
46
2003
The stable \(\mathbb{A}^1\)-connectivity theorems. Zbl 1117.14023
Morel, Fabien
46
2005
The de Rham homotopy theory of complex algebraic varieties. I. Zbl 0637.55006
Hain, Richard M.
45
1987
The Novikov conjecture for hyperbolic foliations. (La conjecture de Novikov pour les feuilletages hyperboliques.) Zbl 0932.19005
Tu, Jean Louis
44
1999
The Reidemeister zeta function with applications to Nielsen theory and a connection with Reidemeister torsion. Zbl 0814.58033
Fel’shtyn, Alexander; Hill, Richard
43
1994
The stability theorem for smooth pseudoisotopies. Zbl 0691.57011
Igusa, Kiyoshi
43
1988
Localization algebras and the coarse Baum-Connes conjecture. Zbl 0888.46047
Yu, Guoliang
42
1997
On the algebraic \(K\)-theory of twisted flag varieties. Zbl 0854.19002
Panin, I. A.
42
1994
Generic representations of the finite general linear groups and the Steenrod algebra. II. Zbl 0830.20065
Kuhn, Nicholas J.
41
1994
Equivariant Kasparov theory and groupoids. I. (Théorie de Kasparov équivariante et groupoïdes. I.) Zbl 0932.19004
Le Gall, Pierre-Yves
41
1999
Oriented cohomology theories of algebraic varieties. Zbl 1047.19001
Panin, I.
40
2003
Dimension theory and nonstable \(K_{1}\) of quadratic modules. Zbl 1020.19001
Hazrat, Roozbeh
40
2002
Milnor \(K\)-theory is the simplest part of algebraic \(K\)-theory. Zbl 0776.19003
Totaro, Burt
37
1992
Coarse Baum-Connes conjecture. Zbl 0829.19004
Yu, Guoliang
37
1995
Cyclic cohomology of etale groupoids. Zbl 0812.19003
Brylinski, J.-L.; Nistor, Victor
36
1994
Noncommutative homology of some three-dimensional quantum spaces. Zbl 0814.16006
Van den Bergh, Michel
36
1994
Quantum Yang-Baxter module algebras. Zbl 0829.16032
Caenepeel, S.; Van Oystaeyen, Fred; Zhang, Y. H.
36
1994
Nonstrict notions of \(n\)-category and \(n\)-groupoid via multisimplical sets. (Sur des notions de \(n\)-categorie et \(n\)-groupoide non strictes via des ensembles multi-simpliciaux.) Zbl 0934.18008
Tamsamani, Zouhair
36
1999
Triangular Witt groups. I: The 12-term localization exact sequence. Zbl 0953.18003
Balmer, Paul
35
2000
Noncommutative differential geometry on the quantum two sphere of Podlès. I: An algebraic viewpoint. Zbl 0763.46059
Masuda, Tetsuya; Nakagami, Yoshiomi; Watanabe, Junsei
35
1991
Overgroups of unitary groups. Zbl 1040.20039
Petrov, Viktor
35
2003
Fourier series, measures and divided power series in the theory of function fields. Zbl 0675.12006
Goss, David
35
1989
On the structure of the \(K_ 2\) of the ring of integers in a number field. Zbl 0705.19007
Keune, Frans
35
1989
Codimension 2 cycles on Severi-Brauer varieties. Zbl 0896.19002
Karpenko, Nikita A.
34
1998
An Atiyah-Hirzebruch spectral sequence for \(KR\)-theory. Zbl 1109.14024
Dugger, Daniel
34
2005
A Quillen model structure for 2-categories. Zbl 1017.18005
Lack, Stephen
33
2002
Index theorem for equivariant Dirac operators on noncompact manifolds. Zbl 1020.58020
Braverman, Maxim
32
2002
Smoothness and locality for nonunital spectral triples. Zbl 1027.46088
Rennie, A.
32
2003
Batalin-Vilkovisky algebras and cyclic cohomology of Hopf algebras. Zbl 1101.19003
Menichi, Luc
32
2004
Index reduction formulas for twisted flag varieties. I. Zbl 0874.16012
Merkurjev, A. S.; Panin, I. A.; Wadsworth, A. R.
32
1996
K-theory of reduced \(C^*\)-algebras and rapidly decreasing functions on groups. Zbl 0692.46062
Jolissaint, Paul
31
1989
Symmetric spectra and topological Hochschild homology. Zbl 0938.55017
Shipley, Brooke
30
2000
Groups acting on buildings, operator \(K\)-theory, and Novikov’s conjecture. Zbl 0738.46035
Kasparov, G. G.; Skandalis, G.
30
1991
Cyclic cohomology of étale groupoids: The general case. Zbl 0937.19007
Crainic, Marius
29
1999
Some algebraic properties of cyclic homology groups. Zbl 0636.18005
Hood, Christine E.; Jones, John D. S.
29
1987
Spectral flow in Fredholm modules, eta invariants and the JLO cocycle. Zbl 1051.19004
Carey, Alan; Phillips, John
27
2004
Galois descent and \(K_ 2\) of number fields. (Descente galoisienne et \(K_ 2\) des corps de nombres.) Zbl 0780.12007
Kahn, Bruno
27
1993
2-nerves for bicategories. Zbl 1155.18006
Lack, Stephen; Paoli, Simona
27
2008
\(C^*\)-algebras and controlled topology. Zbl 0879.19003
Higson, Nigel; Pedersen, Erik Kjær; Roe, John
26
1997
Elementary groups and stability for Jordan pairs. Zbl 0835.17021
Loos, Ottmar
26
1995
Bivariant cyclic theory. Zbl 0755.18008
Jones, John D. S.; Kassel, Christian
25
1989
Vector bundles over real algebraic varieties. Zbl 0761.14020
Bochnak, J.; Buchner, M.; Kucharz, W.
25
1989
Cyclic cohomology and algebra extensions. Zbl 0696.16021
Quillen, Daniel
25
1989
Local projective model structures on simplicial presheaves. Zbl 1073.14517
Blander, Benjamin A.
24
2001
The lower algebraic \(K\)-theory of virtually infinite cyclic groups. Zbl 0829.19002
Farrell, F. T.; Jones, L. E.
24
1995
The homology of algebras of pseudo-differential symbols and the noncommutative residue. Zbl 0646.58026
Brylinski, Jean-Luc; Getzler, Ezra
24
1987
Noncommutative differential geometry on the quantum \(\text{SU}(2)\). I: An algebraic viewpoint. Zbl 0719.46042
Masuda, Tetsuya; Nakagami, Yoshiomi; Watanabe, Junsei
24
1990
Mapping surgery to analysis. I: Analytic signatures. Zbl 1083.19002
Higson, Nigel; Roe, John
23
2004
Higher eta-invariants. Zbl 0773.58026
Lott, John
23
1992
\(d^N=0\): Generalized homology. Zbl 0918.18008
Dubois-Violette, Michel
23
1998
Auslander-Reiten theory via Brown representability. Zbl 0970.18012
Krause, Henning
22
2000
A Quillen model structure for bicategories. Zbl 1069.18008
Lack, Stephen
22
2004
Towards an axiomatization of the theory of higher categories. (Vers une axiomatisation de la théorie des catégories supérieures.) Zbl 1083.18003
Toën, Bertrand
22
2005
Cyclic homology of algebras with one generator. Zbl 0743.13008
The Buenos Aires Cyclic Homology Group
22
1991
Representable K-theory for \(\sigma\)-C\({}^*\)-algebras. Zbl 0709.46033
Phillips, N. Christopher
22
1989
Mapping surgery to analysis. III: Exact sequences. Zbl 1085.19002
Higson, Nigel; Roe, John
21
2004
Mapping surgery to analysis. II: Geometric signatures. Zbl 1083.19003
Higson, Nigel; Roe, John
21
2004
Squeezing and higher algebraic \(K\)-theory. Zbl 1036.19002
Bartels, Arthur C.
21
2003
Twisted homology of quantum \(\text{SL}(2)\). Zbl 1098.58006
Hadfield, Tom; Krähmer, Ulrich
21
2005
\(N\)-fold Čech derived functors and generalised Hopf type formulas. Zbl 1101.18008
Donadze, Guram; Inassaridze, Nick; Porter, Timothy
21
2005
Approximately unitarily equivalent morphisms and inductive limit \(C^*\)- algebras. Zbl 0828.46055
Dadarlat, Marius
21
1995
Stability for quadratic \(K_1\). Zbl 1048.19001
Bak, Anthony; Petrov, Viktor; Guoping, Tang
21
2003
Equivariant Kasparov theory and generalized homomorphisms. Zbl 0982.19004
Meyer, Ralf
20
2000
Finite-dimensional motives and the conjectures of Beilinson and Murre. Zbl 1060.19001
Guletskiǐ, V.; Pedrini, C.
20
2003
On Milnor K-groups attached to semi-Abelian varieties. Zbl 0721.14003
Somekawa, M.
20
1990
Normal subgroups of symplectic groups over rings. Zbl 0669.20040
Vaserstein, L. N.
20
1989
Exterior power operations on higher K-theory. Zbl 0701.18007
Grayson, Daniel R.
20
1989
Algebraic string operations. Zbl 1144.55012
Tradler, Thomas; Zeinalian, Mahmoud
20
2007
Functoriality of the bimodule associated to a Hilsum-Skandalis map. Zbl 0938.22002
Mrčun, Janez
19
1999
A new cyclic module for Hopf algebras. Zbl 1020.16029
Khalkhali, M.; Rangipour, B.
19
2002
The Hodge filtration and cyclic homology. Zbl 0881.19002
Weibel, Charles
19
1997
Hermitian groups and \(K\)-theory. Zbl 0899.19003
Tang, Guoping
19
1998
\(K_1\) of some non-commutative completed group rings. Zbl 1080.19002
Kato, Kazuya
19
2005
Index in \(K\)-theory for families of fibred cusp operators. Zbl 1126.58010
Melrose, Richard; Rochon, Frédéric
19
2006
Caractère de Chern bivariant. (Bivariant Chern character). Zbl 0701.18008
Kassel, Christian
19
1989
Witt cohomology, Mayer-Vietoris, homotopy invariance and the Gersten conjecture. Zbl 0987.19002
Balmer, Paul
18
2001
The center of the \(3\)-dimensional and \(4\)-dimensional Sklyanin algebras. Zbl 0809.16053
Smith, S. P.; Tate, J.
18
1994
On the word length of commutators in \(\text{GL}_n(R)\). Zbl 0935.20037
Sivatski, A. S.; Stepanov, A. V.
18
1999
Weight filtrations via commuting automorphisms. Zbl 0826.19003
Grayson, Daniel R.
18
1995
Generic representations of the finite general linear groups and the Steenrod algebra. III. Zbl 0831.20057
Kuhn, Nicholas J.
18
1995
2-nerves for bicategories. Zbl 1155.18006
Lack, Stephen; Paoli, Simona
27
2008
A nice group structure on the orbit space of unimodular rows. Zbl 1143.13013
Garge, Anuradha S.; Rao, Ravi A.
12
2008
Morava \(K\)-theory rings for the modular groups in Chern classes. Zbl 1144.55016
Bakuradze, Malkhaz
6
2008
A remark on transitivity of Galois action on the set of uniquely divisible abelian extensions in \(\text{Ext}^1(E(\overline {\mathbb {Q}}),\Lambda)\). Zbl 1200.14088
Gavrilovich, Misha
6
2008
Twisted equivariant \(K\)-theory for proper actions of discrete groups. Zbl 1141.19004
Dwyer, Christopher
6
2008
On the classification and properties of noncommutative duplicates. Zbl 1189.16012
López Peña, Javier; Navarro, Gabriel
5
2008
On a spectral sequence for equivariant \(K\)-theory. Zbl 1144.19003
Levine, Marc; Serpé, Christian
1
2008
Algebraic string operations. Zbl 1144.55012
Tradler, Thomas; Zeinalian, Mahmoud
20
2007
Enlargeability and index theory: infinite covers. Zbl 1128.58012
Hanke, Bernhard; Schick, Thomas
12
2007
The Milnor-Chow homomorphism revisited. Zbl 1144.19002
Kerz, Moritz; Müller-Stach, Stefan
7
2007
The integral Novikov conjectures for \(S\)-arithmetic groups. I. Zbl 1130.22005
Ji, Lizhen
2
2007
Additivity for the parametrized topological Euler characteristic and Reidemeister torsion. Zbl 1134.19001
Badzioch, Bernard; Dorabiała, Wojciech
2
2007
Erratum: “The lower algebraic \(K\)-theory of \(\Gamma_3\)”. Zbl 1202.19002
Ortiz, Ivonne J.
1
2007
Index in \(K\)-theory for families of fibred cusp operators. Zbl 1126.58010
Melrose, Richard; Rochon, Frédéric
19
2006
Chow’s moving Lemma and the homotopy coniveau tower. Zbl 1117.19003
Levine, Marc
8
2006
The Grothendieck group of a quantum projective space bundle. Zbl 1114.14003
Mori, Izuru; Smith, S. Paul.
8
2006
The product formula in unitary deformation \(K\)-theory. Zbl 1110.19004
Lawson, Tyler
6
2006
Semilattices of groups and nonstable K-theory of extended Cuntz limits. Zbl 1114.46050
Pardo, Enrique; Wehrung, Friedrich
4
2006
K-theory of pseudodifferential operators with semi-periodic symbols. Zbl 1117.46050
Melo, Severino T.; Silva, Cíntia C.
4
2006
The group \(SK_1\) for simple algebras. Zbl 1117.16006
Merkurjev, Alexander
4
2006
The equivariant noncommutative Atiyah-Patodi-Singer index theorem. Zbl 1117.58011
Wang, Yong
4
2006
Excision in Hopf cyclic homology. Zbl 1135.16009
Kaygun, A.; Khalkhali, M.
3
2006
Diagrams and torsors. Zbl 1106.14008
Jardine, J. F.
3
2006
Cycles in the chamber homology of \(\text{GL}(3)\). Zbl 1115.22012
Aubert, Anne-Marie; Hasan, Samir; Plymen, Roger
3
2006
Spectra of small categories and infinite loop space machines. Zbl 1121.55008
Minian, Elias Gabriel
2
2006
Subexponential group cohomology and the \(K\)-theory of Lafforgue’s algebra \({\mathcal{A}_{\max}}(\pi)\). Zbl 1118.19001
Ji, R.; Ogle, C.
1
2006
Noncommutative Mackey functors and Hopf-cyclic homology. Zbl 1123.16007
Słomińska, Jolanta
1
2006
The stable \(\mathbb{A}^1\)-connectivity theorems. Zbl 1117.14023
Morel, Fabien
46
2005
An Atiyah-Hirzebruch spectral sequence for \(KR\)-theory. Zbl 1109.14024
Dugger, Daniel
34
2005
Towards an axiomatization of the theory of higher categories. (Vers une axiomatisation de la théorie des catégories supérieures.) Zbl 1083.18003
Toën, Bertrand
22
2005
Twisted homology of quantum \(\text{SL}(2)\). Zbl 1098.58006
Hadfield, Tom; Krähmer, Ulrich
21
2005
\(N\)-fold Čech derived functors and generalised Hopf type formulas. Zbl 1101.18008
Donadze, Guram; Inassaridze, Nick; Porter, Timothy
21
2005
\(K_1\) of some non-commutative completed group rings. Zbl 1080.19002
Kato, Kazuya
19
2005
Bivariant \(K\)-theory and the Weyl algebra. Zbl 1111.19003
Cuntz, Joachim
16
2005
Flasque model structures for simplicial presheaves. Zbl 1116.18008
Isaksen, Daniel C.
16
2005
The local index formula for \(\text{SU}_{q}(2)\). Zbl 1098.58007
Van Suijlekom, Walter; Dabrowski, Ludwik; Landi, Giovanni; Sitarz, Andrzej; Várilly, Joseph C.
15
2005
Elliptic operators on manifolds with singularities and \(K\)-homology. Zbl 1087.58013
Savin, Anton
14
2005
Bialgebra cyclic homology with coefficients. Zbl 1114.16011
Kaygun, Atabey
12
2005
A \(K\)-theory proof of the cobordism invariance of the index. Zbl 1117.58009
Carvalho, Catarina
12
2005
The \(K\)-theory of Heegaard-type quantum 3-spheres. Zbl 1111.46051
Baum, Paul F.; Hajac, Piotr M.; Matthes, Rainer; Szymański, Wojciech
11
2005
Homotopy decompositions and \(K\)-theory of Bott towers. Zbl 1078.55016
Civan, Yusuf; Ray, Nigel
10
2005
Limit sets as examples in noncommutative geometry. Zbl 1106.46055
Lott, John
7
2005
Twisted Hochschild homology of quantum hyperplanes. Zbl 1110.46046
Sitarz, Andrzej
6
2005
A new proof of a theorem of Suslin. Zbl 1101.19002
Mazzoleni, A.
6
2005
Homology stability for unitary groups. II. Zbl 1114.19003
Mirzaii, B.
6
2005
\(K\)-theory with \(\mathbb{R}/\mathbb{Z}\) coefficients and von Neumann algebras. Zbl 1113.19006
Basu, Devraj
6
2005
Motives and etale motives with finite coefficients. Zbl 1088.19002
Hasemeyer, Christian; Hornbostel, Jens
5
2005
Nonexcellence of the function field of the product of two conics. Zbl 1123.11014
Sivatski, A. S.
5
2005
Galois cohomology of certain field extensions and the divisible case of Milnor-Kato conjecture. Zbl 1156.11343
Positselski, Leonid
5
2005
Finiteness of higher \(K\)-groups of orders and group rings. Zbl 1112.19002
Kuku, Aderemi
5
2005
\(E\)-theoretic duality for higher rank graph algebras. Zbl 1088.46043
Popescu, Iulian; Zacharias, Joachim
4
2005
The Brauer group of Azumaya corings and the second cohomology group. Zbl 1105.16034
Caenepeel, S.; Femić, B.
4
2005
Tame kernels for biquadratic number fields. Zbl 1220.11142
Yue, Qin
4
2005
On \(K_{2}\) of one-dimensional local rings. Zbl 1099.19002
Krishna, Amalendu
4
2005
Representation rings of Lie superalgebras. Zbl 1122.19001
Landweber, Gregory D.
4
2005
Deformation theory of dialgebras (Errata). Zbl 1101.16306
Majumdar, Anita; Mukherjee, Goutam
3
2005
Trace and transfer maps in the algebraic \(K\)-theory of spaces. Zbl 1116.19001
Douglas, Christopher L.
3
2005
The universal functorial equivariant Lefschetz invariant. Zbl 1111.55003
Weber, Julia
3
2005
Cup product, étale capitulation kernels and generalized Greenberg conjecture. (Cup-produit, noyaux de capitulation étales et conjecture de Greenberg généralisée.) Zbl 1156.11342
Vauclair, David
3
2005
Some Fréchet algebras for which the Chern character is an isomorphism. Zbl 1113.19002
Solleveld, Maarten
3
2005
Numerably contractible categories. Zbl 1117.55019
Minian, Elias Gabriel
2
2005
Corrigendum: Index theory and non-commutative geometry. I: Higher families index theory. Zbl 1108.58020
Benameur, Moulay-Tahar; Heitsch, James L.
2
2005
Chern classes of analytic sets. (Classes de Chern des ensembles analytiques.) Zbl 1077.57023
Cavalier, Vincent; Lehmann, Daniel; Soares, Marcio G.
1
2005
The stable class of the augmentation ideal. Zbl 1094.20001
Johnson, F. E. A.
1
2005
\(K_2\) of a ring via the \(G\)-construction. Zbl 1080.19003
Nenashev, Alexander
1
2005
Induced projective modules over group von Neumann algebras. Zbl 1105.19003
Emmanouil, Ioannis
1
2005
Trace and duality in symmetric monoidal categories. Zbl 1104.55002
Nicas, Andrew
1
2005
Algebraic \(K\)-theory of parameterized endomorphisms. Zbl 1115.18005
Betley, Stanisław
1
2005
Support varieties for selfinjective algebras. Zbl 1116.16007
Erdmann, Karin; Holloway, Miles; Taillefer, Rachel; Snashall, Nicole; Solberg, Øyvind
68
2004
Batalin-Vilkovisky algebras and cyclic cohomology of Hopf algebras. Zbl 1101.19003
Menichi, Luc
32
2004
Spectral flow in Fredholm modules, eta invariants and the JLO cocycle. Zbl 1051.19004
Carey, Alan; Phillips, John
27
2004
Mapping surgery to analysis. I: Analytic signatures. Zbl 1083.19002
Higson, Nigel; Roe, John
23
2004
A Quillen model structure for bicategories. Zbl 1069.18008
Lack, Stephen
22
2004
Mapping surgery to analysis. III: Exact sequences. Zbl 1085.19002
Higson, Nigel; Roe, John
21
2004
Mapping surgery to analysis. II: Geometric signatures. Zbl 1083.19003
Higson, Nigel; Roe, John
21
2004
Cocycle twisting of \(E(n)\)-module algebras and applications to the Brauer group. Zbl 1073.16028
Carnovale, G.; Cuadra, J.
16
2004
Schur functors and motives. Zbl 1071.14026
Mazza, Carlo
15
2004
Higher Chern classes and Steenrod operations in motivic cohomology. Zbl 1073.14029
Pushin, Oleg
13
2004
Generators and relations for \(K_{2}O_{F}\). Zbl 1090.11074
Belabas, Karim; Gangl, Herbert
13
2004
Splitting with continuous control in algebraic \(K\)-theory. Zbl 1068.19008
Rosenthal, David
13
2004
Index theory and non-commutative geometry. I: Higher families index theory. Zbl 1074.58009
Benameur, Moulay-Tahar; Heitsch, James L.
12
2004
Hopf algebra equivariant cyclic cohomology, \(K\)-theory and index formulas. Zbl 1067.19002
Neshveyev, Sergey; Tuset, Lars
12
2004
Bimodule deformations, Picard groups and contravariant connections. Zbl 1054.53101
Bursztyn, Henrique; Waldmann, Stefan
11
2004
Summability for nonunital spectral triples. Zbl 1052.46055
Rennie, Adam
11
2004
Bounds for étale capitulation kernels. Zbl 1163.11347
Assim, Jilali; Movahhedi, Abbas
10
2004
Real \(C^*\)-algebras, united \(KK\)-theory, and the universal coefficient theorem. Zbl 1075.19001
Boersema, Jeffrey L.
8
2004
Auslander-Reiten triangles, Ziegler spectra and Gorenstein rings. Zbl 1082.18010
Beligiannis, Apostolos
6
2004
Higher Čech theory. Zbl 1070.18008
Beke, Tibor
5
2004
Hermitian \(K\)-theory on a theorem of Giffen. Zbl 1070.19006
Schlichting, Marco
4
2004
Milnor \(K\)-theory of smooth varieties. Zbl 1083.19001
Akhtar, Reza
4
2004
Semi-invertible extensions and asymptotic homomorphisms. Zbl 1074.46037
Manuilov, V.; Thomsen, K.
4
2004
Retraction of the bivariant Chern character. Zbl 1072.58020
Perrot, Denis
3
2004
Torsion in boundary coinvariants and \(K\)-theory for affine buildings. Zbl 1079.51007
Robertson, Guyan
3
2004
The equivariant analytic index for proper groupoid actions. Zbl 1075.19002
Paterson, Alan L. T.
3
2004
The lower algebraic \(K\)-theory of \(\Gamma_{3}\). Zbl 1068.19004
Ortiz, Ivonne J.
3
2004
Minimal projective resolutions for comodules. Zbl 1074.16025
López-Ramos, J. A.; Nastasescu, C.; Torrecillas, B.
3
2004
Algebraic \(K\)-theory of mapping class groups. Zbl 1119.19002
Berkove, Ethan; Juan-Pineda, Daniel; Lu, Qin
3
2004
Crossed modules over operads and operadic cohomology. Zbl 1053.55016
Baues, Hans-Joachim; Minian, Elias Gabriel; Richter, Birgit
2
2004
Finiteness of total cofibres. Zbl 1068.55015
Hüttemann, Thomas
2
2004
Flabby strict deformation quantizations and \(K\)-groups. Zbl 1084.46059
Li, Hanfeng
2
2004
...and 497 more Documents
all top 5

Cited by 3,047 Authors

53 Vavilov, Nikolaĭ Aleksandrovich
35 Yu, Guoliang
32 Rennie, Adam
31 Lück, Wolfgang
30 Lin, Huaxin
25 Tabuada, Gonçalo
22 Dadarlat, Marius
21 Benameur, Moulay-Tahar
21 Carey, Alan L.
20 Cortiñas, Guillermo H.
19 Kucharz, Wojciech
19 Matsumoto, Kengo
18 Ara, Pere
18 Karpenko, Nikita Aleksandrovich
18 Krishna, Amalendu
17 Fel’shtyn, Alexander
17 Nest, Ryszard
17 Østvær, Paul Arne
17 Sims, Aidan
17 Thomsen, Klaus E.
17 Weibel, Charles A.
16 Das, Mrinal Kanti
16 Farrell, F. Thomas
16 Klein, John Robert
16 Levine, Marc Noel
16 Mathai, Varghese
16 Meyer, Ralf
16 van Oystaeyen, Freddy
16 Willett, Rufus
15 Baues, Hans-Joachim
15 Elliott, George A.
15 Erdmann, Karin
15 Kaad, Jens
15 Pardo, Enrique
15 Stepanov, Alexeĭ Vladimirovich
14 Bergh, Petter Andreas
14 Guccione, Jorge Alberto
14 Guccione, Juan José
14 Khalkhali, Masoud
14 Landi, Giovanni
14 Rao, Ravi A.
14 Schick, Thomas
14 Solotar, Andrea Leonor
14 Sukochev, Fedor Anatol’evich
14 Zhang, Yinhuo
14 Zhang, Zuhong
13 Asok, Aravind
13 Carlsen, Toke Meier
13 Echterhoff, Siegfried
13 Hazrat, Roozbeh
13 Hochs, Peter
13 Kahn, Bruno
13 Mesland, Bram
13 Morimoto, Masaharu
13 Williams, Bruce
12 Bartels, Arthur C.
12 Cegarra, Antonio Martínez
12 Connes, Alain
12 Emerson, Heath
12 Hutchinson, Kevin
12 Merkur’ev, Aleksandr Sergeevich
12 Panin, Ivan A.
12 Piazza, Paolo
12 Qin, Hourong
12 Savin, Anton Yur’evich
12 Skandalis, Georges
12 Tang, Xiang
12 Troitskiĭ, Evgeniĭ Vadimovich
11 Bak, Anthony
11 Caenepeel, Stefaan
11 Deeley, Robin J.
11 Gille, Stefan G.
11 Goffeng, Magnus
11 Igusa, Kiyoshi
11 Kaygun, Atabey
11 Lindenstrauss, Ayelet
11 Longo, Roberto
11 Loring, Terry A.
11 Manuĭlov, Vladimir Markovich
11 McCarthy, Randy
11 Mikhaĭlov, Roman Valer’evich
11 Pask, David
11 Rangipour, Bahram
11 Solleveld, Maarten
11 van Suijlekom, Walter Daniël
11 Waldmann, Stefan
11 Weiss, Michael S.
11 You, Hong
11 Zainoulline, Kirill
10 Brzeziński, Tomasz
10 Eilers, Søren
10 Fasel, Jean
10 Garkusha, Grigory
10 Hain, Richard M.
10 Hajac, Piotr M.
10 Juan-Pineda, Daniel
10 Kolster, Manfred
10 Kuhn, Nicholas J.
10 Li, Kang
10 Nistor, Victor
...and 2,947 more Authors
all top 5

Cited in 286 Journals

278 Journal of Pure and Applied Algebra
260 Advances in Mathematics
254 Journal of Algebra
180 Journal of Functional Analysis
173 \(K\)-Theory
161 Transactions of the American Mathematical Society
150 Communications in Algebra
115 Journal of \(K\)-Theory
107 Communications in Mathematical Physics
106 Proceedings of the American Mathematical Society
101 Journal of Noncommutative Geometry
95 Algebraic & Geometric Topology
78 Mathematische Zeitschrift
74 Journal für die Reine und Angewandte Mathematik
72 Mathematische Annalen
70 Topology and its Applications
60 Journal of Geometry and Physics
57 Inventiones Mathematicae
57 Journal of Mathematical Sciences (New York)
50 Journal of Number Theory
50 Geometry & Topology
49 International Journal of Mathematics
49 Journal of Homotopy and Related Structures
48 Annales de l’Institut Fourier
45 Duke Mathematical Journal
45 Comptes Rendus. Mathématique. Académie des Sciences, Paris
38 St. Petersburg Mathematical Journal
36 Compositio Mathematica
35 Letters in Mathematical Physics
35 Journal of Topology and Analysis
33 Documenta Mathematica
30 Israel Journal of Mathematics
30 Forum Mathematicum
30 Applied Categorical Structures
29 Algebras and Representation Theory
28 Journal of Algebraic Geometry
27 Manuscripta Mathematica
27 Journal of Topology
26 Annals of \(K\)-Theory
25 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
25 Journal of the American Mathematical Society
24 Acta Mathematica Sinica. English Series
24 Journal of Algebra and its Applications
22 Reviews in Mathematical Physics
22 Memoirs of the American Mathematical Society
21 Journal of Mathematical Analysis and Applications
19 Journal of Mathematical Physics
19 Rocky Mountain Journal of Mathematics
19 Geometriae Dedicata
19 Ergodic Theory and Dynamical Systems
19 Theory and Applications of Categories
18 Mathematical Proceedings of the Cambridge Philosophical Society
18 Selecta Mathematica. New Series
17 Geometric and Functional Analysis. GAFA
15 Publications Mathématiques
14 Annals of Mathematics. Second Series
14 Forum of Mathematics, Sigma
13 Publications of the Research Institute for Mathematical Sciences, Kyoto University
13 Bulletin of the American Mathematical Society. New Series
13 Journal de Théorie des Nombres de Bordeaux
13 Russian Journal of Mathematical Physics
13 Journal of the European Mathematical Society (JEMS)
13 International Journal of Geometric Methods in Modern Physics
12 Expositiones Mathematicae
12 Transformation Groups
12 Journal of the Institute of Mathematics of Jussieu
11 Indagationes Mathematicae. New Series
11 Science China. Mathematics
10 Archiv der Mathematik
10 Integral Equations and Operator Theory
10 Journal of the Australian Mathematical Society
10 Central European Journal of Mathematics
10 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
9 Acta Mathematica
9 Bulletin of the London Mathematical Society
9 Science in China. Series A
9 Annales Mathématiques Blaise Pascal
9 The New York Journal of Mathematics
9 Annales Henri Poincaré
9 Groups, Geometry, and Dynamics
9 Kyoto Journal of Mathematics
9 Higher Structures
8 Glasgow Mathematical Journal
8 Nagoya Mathematical Journal
8 Pacific Journal of Mathematics
8 Proceedings of the Edinburgh Mathematical Society. Series II
8 Journal of the Ramanujan Mathematical Society
8 International Journal of Algebra and Computation
8 Algebra Colloquium
8 Mathematical Physics, Analysis and Geometry
8 Journal of Group Theory
7 Tokyo Journal of Mathematics
7 Chinese Annals of Mathematics. Series B
7 Differential Geometry and its Applications
7 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
7 Communications in Contemporary Mathematics
7 Transactions of the American Mathematical Society. Series B
6 Bulletin of the Australian Mathematical Society
6 Indian Journal of Pure & Applied Mathematics
6 Mathematical Notes
...and 186 more Journals
all top 5

Cited in 50 Fields

1,327 \(K\)-theory (19-XX)
1,074 Functional analysis (46-XX)
894 Algebraic geometry (14-XX)
812 Category theory; homological algebra (18-XX)
811 Algebraic topology (55-XX)
790 Associative rings and algebras (16-XX)
595 Group theory and generalizations (20-XX)
514 Global analysis, analysis on manifolds (58-XX)
405 Number theory (11-XX)
391 Manifolds and cell complexes (57-XX)
221 Commutative algebra (13-XX)
217 Differential geometry (53-XX)
205 Nonassociative rings and algebras (17-XX)
200 Quantum theory (81-XX)
194 Topological groups, Lie groups (22-XX)
110 Operator theory (47-XX)
105 Dynamical systems and ergodic theory (37-XX)
79 Several complex variables and analytic spaces (32-XX)
70 Combinatorics (05-XX)
58 Field theory and polynomials (12-XX)
38 Geometry (51-XX)
36 Abstract harmonic analysis (43-XX)
31 General topology (54-XX)
30 Linear and multilinear algebra; matrix theory (15-XX)
26 Partial differential equations (35-XX)
24 Statistical mechanics, structure of matter (82-XX)
23 Order, lattices, ordered algebraic structures (06-XX)
17 Convex and discrete geometry (52-XX)
13 Mathematical logic and foundations (03-XX)
13 Special functions (33-XX)
13 Relativity and gravitational theory (83-XX)
11 Functions of a complex variable (30-XX)
9 Probability theory and stochastic processes (60-XX)
9 Mechanics of particles and systems (70-XX)
7 History and biography (01-XX)
7 Harmonic analysis on Euclidean spaces (42-XX)
6 General and overarching topics; collections (00-XX)
5 Measure and integration (28-XX)
5 Computer science (68-XX)
4 Potential theory (31-XX)
3 General algebraic systems (08-XX)
2 Real functions (26-XX)
2 Ordinary differential equations (34-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 Information and communication theory, circuits (94-XX)
1 Difference and functional equations (39-XX)
1 Approximations and expansions (41-XX)
1 Integral transforms, operational calculus (44-XX)
1 Integral equations (45-XX)
1 Optics, electromagnetic theory (78-XX)

Citations by Year