\(K\)-TheoryAn 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: Journal; 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 Oluyomi 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 496 more Authors all top 5 Fields 403 \(K\)-theory (19-XX) 155 Category theory; homological algebra (18-XX) 152 Functional analysis (46-XX) 149 Algebraic topology (55-XX) 123 Algebraic geometry (14-XX) 95 Associative rings and algebras (16-XX) 71 Number theory (11-XX) 61 Manifolds and cell complexes (57-XX) 61 Global analysis, analysis on manifolds (58-XX) 56 Group theory and generalizations (20-XX) 23 Commutative algebra (13-XX) 19 Nonassociative rings and algebras (17-XX) 16 Topological groups, Lie groups (22-XX) 15 Field theory and polynomials (12-XX) 13 Operator theory (47-XX) 6 Several complex variables and analytic spaces (32-XX) 5 General and overarching topics; collections (00-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Quantum theory (81-XX) 4 History and biography (01-XX) 4 Differential geometry (53-XX) 3 Combinatorics (05-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Geometry (51-XX) 1 Partial differential equations (35-XX) 1 Abstract harmonic analysis (43-XX) 1 Probability theory and stochastic processes (60-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 599 Publications have been cited 6,855 times in 4,781 Documents Cited by ▼ Year ▼ The Baum-Connes conjecture for amenable foliations. (La conjecture de Baum-Connes pour les feuilletages moyennables.) Zbl 0939.19001Tu, Jean-Louis 123 1999 A theory of dimension. Zbl 0874.18005Longo, R.; Roberts, J. E. 112 1997 Calculus. II: Analytic functors. Zbl 0776.55008Goodwillie, Thomas G. 106 1992 Spaces over a category and assembly maps in isomorphism conjectures in \(K\)- and \(L\)-theory. Zbl 0921.19003Davis, James F.; Lück, Wolfgang 98 1998 Generalized divisors on Gorenstein schemes. Zbl 0826.14005Hartshorne, Robin 88 1994 Support varieties for selfinjective algebras. Zbl 1116.16007Erdmann, Karin; Holloway, Miles; Taillefer, Rachel; Snashall, Nicole; Solberg, Øyvind 72 2004 Decomposition of transvections: A theme with variations. Zbl 0944.20031Stepanov, Alexei; Vavilov, Nikolai 71 2000 Calculus. I: The first derivative of pseudoisotopy theory. Zbl 0741.57021Goodwillie, Thomas G. 69 1990 Approximately central matrix units and the structure of noncommutative tori. Zbl 0813.46064Blackadar, Bruce; Kumjian, Alexander; Rørdam, Mikael 68 1992 Orbifolds, sheaves and groupoids. Zbl 0883.22005Moerdijk, I.; Pronk, D. A. 67 1997 Torsion in \(K_ 2\) of fields. Zbl 0635.12015Suslin, A. A. 67 1987 Entire cyclic cohomology of Banach algebras and characters of \(\theta\)- summable Fredholm modules. Zbl 0657.46049Connes, A. 66 1988 Riemann-Roch theorems for Deligne-Mumford stacks. (Théorèmes de Riemann-Roch pour les champs de Deligne-Mumford.) Zbl 0946.14004Toen, B. 65 1999 Classification of Cuntz-Krieger algebras. Zbl 0826.46064Rørdam, Mikael 63 1995 Nonabelian \(K\)-theory: The nilpotent class of \(K_ 1\) and general stability. Zbl 0741.19001Bak, Anthony 63 1991 The stable \(\mathbb{A}^1\)-connectivity theorems. Zbl 1117.14023Morel, Fabien 62 2005 \(K_0\) of purely infinite simple regular rings. Zbl 1012.16013Ara, P.; Goodearl, K. R.; Pardo, E. 58 2002 \(C^*\)-algèbres de Hopf et théorie de Kasparov équivariante. (Hopf \(C^*\)-algebras and equivariant Kasparov theory). Zbl 0683.46048Baaj, Saad; Skandalis, Georges 55 1989 The \(KK\)-product of unbounded modules. Zbl 0871.19004Kucerovsky, Dan 53 1997 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 0653.46065Skandalis, Georges 51 1988 A new look at KK-theory. Zbl 0636.55001Cuntz, Joachim 51 1987 The de Rham homotopy theory of complex algebraic varieties. I. Zbl 0637.55006Hain, Richard M. 50 1987 Equivariant spectral triples on the quantum SU(2) group. Zbl 1028.58005Chakraborty, Partha Sarathi; Pal, Arupkumar 49 2003 The Reidemeister zeta function with applications to Nielsen theory and a connection with Reidemeister torsion. Zbl 0814.58033Fel’shtyn, Alexander; Hill, Richard 48 1994 Equivariant Kasparov theory and groupoids. I. (Théorie de Kasparov équivariante et groupoïdes. I.) Zbl 0932.19004Le Gall, Pierre-Yves 48 1999 Localization algebras and the coarse Baum-Connes conjecture. Zbl 0888.46047Yu, Guoliang 47 1997 The stability theorem for smooth pseudoisotopies. Zbl 0691.57011Igusa, Kiyoshi 47 1988 The Novikov conjecture for hyperbolic foliations. (La conjecture de Novikov pour les feuilletages hyperboliques.) Zbl 0932.19005Tu, Jean Louis 47 1999 Oriented cohomology theories of algebraic varieties. Zbl 1047.19001Panin, I. 47 2003 Generic representations of the finite general linear groups and the Steenrod algebra. II. Zbl 0830.20065Kuhn, Nicholas J. 45 1994 An Atiyah-Hirzebruch spectral sequence for \(KR\)-theory. Zbl 1109.14024Dugger, Daniel 45 2005 On the algebraic \(K\)-theory of twisted flag varieties. Zbl 0854.19002Panin, I. A. 44 1994 Milnor \(K\)-theory is the simplest part of algebraic \(K\)-theory. Zbl 0776.19003Totaro, Burt 44 1992 Dimension theory and nonstable \(K_{1}\) of quadratic modules. Zbl 1020.19001Hazrat, Roozbeh 43 2002 A Quillen model structure for 2-categories. Zbl 1017.18005Lack, Stephen 41 2002 Noncommutative homology of some three-dimensional quantum spaces. Zbl 0814.16006Van den Bergh, Michel 40 1994 Coarse Baum-Connes conjecture. Zbl 0829.19004Yu, Guoliang 40 1995 Codimension 2 cycles on Severi-Brauer varieties. Zbl 0896.19002Karpenko, Nikita A. 39 1998 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 0934.18008Tamsamani, Zouhair 39 1999 Batalin-Vilkovisky algebras and cyclic cohomology of Hopf algebras. Zbl 1101.19003Menichi, Luc 39 2004 Cyclic cohomology of etale groupoids. Zbl 0812.19003Brylinski, J.-L.; Nistor, Victor 38 1994 Quantum Yang-Baxter module algebras. Zbl 0829.16032Caenepeel, S.; Van Oystaeyen, Fred; Zhang, Y. H. 38 1994 Index reduction formulas for twisted flag varieties. I. Zbl 0874.16012Merkurjev, A. S.; Panin, I. A.; Wadsworth, A. R. 37 1996 Triangular Witt groups. I: The 12-term localization exact sequence. Zbl 0953.18003Balmer, Paul 37 2000 Overgroups of unitary groups. Zbl 1040.20039Petrov, Viktor 37 2003 Noncommutative differential geometry on the quantum two sphere of Podlès. I: An algebraic viewpoint. Zbl 0763.46059Masuda, Tetsuya; Nakagami, Yoshiomi; Watanabe, Junsei 36 1991 Fourier series, measures and divided power series in the theory of function fields. Zbl 0675.12006Goss, David 35 1989 On the structure of the \(K_ 2\) of the ring of integers in a number field. Zbl 0705.19007Keune, Frans 35 1989 Index theorem for equivariant Dirac operators on noncompact manifolds. Zbl 1020.58020Braverman, Maxim 34 2002 Groups acting on buildings, operator \(K\)-theory, and Novikov’s conjecture. Zbl 0738.46035Kasparov, G. G.; Skandalis, G. 32 1991 Smoothness and locality for nonunital spectral triples. Zbl 1027.46088Rennie, A. 32 2003 Symmetric spectra and topological Hochschild homology. Zbl 0938.55017Shipley, Brooke 32 2000 K-theory of reduced \(C^*\)-algebras and rapidly decreasing functions on groups. Zbl 0692.46062Jolissaint, Paul 31 1989 2-nerves for bicategories. Zbl 1155.18006Lack, Stephen; Paoli, Simona 30 2008 Cyclic cohomology of étale groupoids: The general case. Zbl 0937.19007Crainic, Marius 30 1999 Some algebraic properties of cyclic homology groups. Zbl 0636.18005Hood, Christine E.; Jones, John D. S. 30 1987 Elementary groups and stability for Jordan pairs. Zbl 0835.17021Loos, Ottmar 29 1995 \(C^*\)-algebras and controlled topology. Zbl 0879.19003Higson, Nigel; Pedersen, Erik Kjær; Roe, John 29 1997 Spectral flow in Fredholm modules, eta invariants and the JLO cocycle. Zbl 1051.19004Carey, Alan; Phillips, John 29 2004 Towards an axiomatization of the theory of higher categories. (Vers une axiomatisation de la théorie des catégories supérieures.) Zbl 1083.18003Toën, Bertrand 28 2005 A Quillen model structure for bicategories. Zbl 1069.18008Lack, Stephen 28 2004 Mapping surgery to analysis. I: Analytic signatures. Zbl 1083.19002Higson, Nigel; Roe, John 28 2004 Galois descent and \(K_ 2\) of number fields. (Descente galoisienne et \(K_ 2\) des corps de nombres.) Zbl 0780.12007Kahn, Bruno 27 1993 The lower algebraic \(K\)-theory of virtually infinite cyclic groups. Zbl 0829.19002Farrell, F. T.; Jones, L. E. 26 1995 Vector bundles over real algebraic varieties. Zbl 0761.14020Bochnak, J.; Buchner, M.; Kucharz, W. 26 1989 Cyclic cohomology and algebra extensions. Zbl 0696.16021Quillen, Daniel 26 1989 Bivariant cyclic theory. Zbl 0755.18008Jones, John D. S.; Kassel, Christian 25 1989 Mapping surgery to analysis. III: Exact sequences. Zbl 1085.19002Higson, Nigel; Roe, John 25 2004 The homology of algebras of pseudo-differential symbols and the noncommutative residue. Zbl 0646.58026Brylinski, Jean-Luc; Getzler, Ezra 25 1987 Equivariant Kasparov theory and generalized homomorphisms. Zbl 0982.19004Meyer, Ralf 25 2000 Higher eta-invariants. Zbl 0773.58026Lott, John 24 1992 Mapping surgery to analysis. II: Geometric signatures. Zbl 1083.19003Higson, Nigel; Roe, John 24 2004 Noncommutative differential geometry on the quantum \(\text{SU}(2)\). I: An algebraic viewpoint. Zbl 0719.46042Masuda, Tetsuya; Nakagami, Yoshiomi; Watanabe, Junsei 24 1990 Local projective model structures on simplicial presheaves. Zbl 1073.14517Blander, Benjamin A. 24 2001 \(d^N=0\): Generalized homology. Zbl 0918.18008Dubois-Violette, Michel 24 1998 Auslander-Reiten theory via Brown representability. Zbl 0970.18012Krause, Henning 24 2000 Cyclic homology of algebras with one generator. Zbl 0743.13008The Buenos Aires Cyclic Homology Group 23 1991 Representable K-theory for \(\sigma\)-C\({}^*\)-algebras. Zbl 0709.46033Phillips, N. Christopher 23 1989 Finite-dimensional motives and the conjectures of Beilinson and Murre. Zbl 1060.19001Guletskiǐ, V.; Pedrini, C. 23 2003 On the geometry of 2-categories and their classifying spaces. Zbl 1037.18003Bullejos, M.; Cegarra, A. M. 23 2003 Approximately unitarily equivalent morphisms and inductive limit \(C^*\)- algebras. Zbl 0828.46055Dadarlat, Marius 22 1995 On Milnor K-groups attached to semi-Abelian varieties. Zbl 0721.14003Somekawa, M. 22 1990 Brown-Peterson cohomology from Morava \(K\)-theory. Zbl 0912.55002Ravenel, Douglas C.; Wilson, W. Stephen; Yagita, Nobuaki 22 1998 On the word length of commutators in \(\text{GL}_n(R)\). Zbl 0935.20037Sivatski, A. S.; Stepanov, A. V. 22 1999 Caractère multiplicatif d’un module de Fredholm. (Multiplicative character of a Fredholm module). Zbl 0671.46034Connes, Alain; Karoubi, Max 22 1988 Stability for quadratic \(K_1\). Zbl 1048.19001Bak, Anthony; Petrov, Viktor; Guoping, Tang 22 2003 Index in \(K\)-theory for families of fibred cusp operators. Zbl 1126.58010Melrose, Richard; Rochon, Frédéric 21 2006 \(K_1\) of some non-commutative completed group rings. Zbl 1080.19002Kato, Kazuya 21 2005 Hermitian groups and \(K\)-theory. Zbl 0899.19003Tang, Guoping 21 1998 Algebraic string operations. Zbl 1144.55012Tradler, Thomas; Zeinalian, Mahmoud 21 2007 Twisted homology of quantum \(\text{SL}(2)\). Zbl 1098.58006Hadfield, Tom; Krähmer, Ulrich 21 2005 \(N\)-fold Čech derived functors and generalised Hopf type formulas. Zbl 1101.18008Donadze, Guram; Inassaridze, Nick; Porter, Timothy 21 2005 Squeezing and higher algebraic \(K\)-theory. Zbl 1036.19002Bartels, Arthur C. 21 2003 Real \(C^*\)-algebras, united \(K\)-theory, and the Künneth formula. Zbl 1024.46021Boersema, Jeffrey L. 20 2002 The Hodge filtration and cyclic homology. Zbl 0881.19002Weibel, Charles 20 1997 Exterior power operations on higher K-theory. Zbl 0701.18007Grayson, Daniel R. 20 1989 Index reduction formulas for twisted flag varieties. II. Zbl 0918.16013Merkurjev, A. S.; Panin, I. A.; Wadsworth, A. R. 20 1998 Functoriality of the bimodule associated to a Hilsum-Skandalis map. Zbl 0938.22002Mrčun, Janez 20 1999 Witt cohomology, Mayer-Vietoris, homotopy invariance and the Gersten conjecture. Zbl 0987.19002Balmer, Paul 20 2001 The center of the \(3\)-dimensional and \(4\)-dimensional Sklyanin algebras. Zbl 0809.16053Smith, S. P.; Tate, J. 19 1994 2-nerves for bicategories. Zbl 1155.18006Lack, Stephen; Paoli, Simona 30 2008 A nice group structure on the orbit space of unimodular rows. Zbl 1143.13013Garge, Anuradha S.; Rao, Ravi A. 13 2008 On the classification and properties of noncommutative duplicates. Zbl 1189.16012López Peña, Javier; Navarro, Gabriel 7 2008 Morava \(K\)-theory rings for the modular groups in Chern classes. Zbl 1144.55016Bakuradze, 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 1200.14088Gavrilovich, Misha 6 2008 Twisted equivariant \(K\)-theory for proper actions of discrete groups. Zbl 1141.19004Dwyer, Christopher 6 2008 On a spectral sequence for equivariant \(K\)-theory. Zbl 1144.19003Levine, Marc; Serpé, Christian 1 2008 Algebraic string operations. Zbl 1144.55012Tradler, Thomas; Zeinalian, Mahmoud 21 2007 Enlargeability and index theory: infinite covers. Zbl 1128.58012Hanke, Bernhard; Schick, Thomas 13 2007 The Milnor-Chow homomorphism revisited. Zbl 1144.19002Kerz, Moritz; Müller-Stach, Stefan 7 2007 The integral Novikov conjectures for \(S\)-arithmetic groups. I. Zbl 1130.22005Ji, Lizhen 3 2007 Additivity for the parametrized topological Euler characteristic and Reidemeister torsion. Zbl 1134.19001Badzioch, Bernard; Dorabiała, Wojciech 2 2007 Erratum: “The lower algebraic \(K\)-theory of \(\Gamma_3\)”. Zbl 1202.19002Ortiz, Ivonne J. 1 2007 Index in \(K\)-theory for families of fibred cusp operators. Zbl 1126.58010Melrose, Richard; Rochon, Frédéric 21 2006 Chow’s moving Lemma and the homotopy coniveau tower. Zbl 1117.19003Levine, Marc 12 2006 The Grothendieck group of a quantum projective space bundle. Zbl 1114.14003Mori, Izuru; Smith, S. Paul. 8 2006 Semilattices of groups and nonstable K-theory of extended Cuntz limits. Zbl 1114.46050Pardo, Enrique; Wehrung, Friedrich 6 2006 The product formula in unitary deformation \(K\)-theory. Zbl 1110.19004Lawson, Tyler 6 2006 K-theory of pseudodifferential operators with semi-periodic symbols. Zbl 1117.46050Melo, Severino T.; Silva, Cíntia C. 4 2006 The group \(SK_1\) for simple algebras. Zbl 1117.16006Merkurjev, Alexander 4 2006 Diagrams and torsors. Zbl 1106.14008Jardine, J. F. 4 2006 The equivariant noncommutative Atiyah-Patodi-Singer index theorem. Zbl 1117.58011Wang, Yong 4 2006 Excision in Hopf cyclic homology. Zbl 1135.16009Kaygun, A.; Khalkhali, M. 3 2006 Cycles in the chamber homology of \(\text{GL}(3)\). Zbl 1115.22012Aubert, Anne-Marie; Hasan, Samir; Plymen, Roger 3 2006 Spectra of small categories and infinite loop space machines. Zbl 1121.55008Minian, Elias Gabriel 2 2006 Subexponential group cohomology and the \(K\)-theory of Lafforgue’s algebra \({\mathcal{A}_{\max}}(\pi)\). Zbl 1118.19001Ji, R.; Ogle, C. 1 2006 Noncommutative Mackey functors and Hopf-cyclic homology. Zbl 1123.16007Słomińska, Jolanta 1 2006 The stable \(\mathbb{A}^1\)-connectivity theorems. Zbl 1117.14023Morel, Fabien 62 2005 An Atiyah-Hirzebruch spectral sequence for \(KR\)-theory. Zbl 1109.14024Dugger, Daniel 45 2005 Towards an axiomatization of the theory of higher categories. (Vers une axiomatisation de la théorie des catégories supérieures.) Zbl 1083.18003Toën, Bertrand 28 2005 \(K_1\) of some non-commutative completed group rings. Zbl 1080.19002Kato, Kazuya 21 2005 Twisted homology of quantum \(\text{SL}(2)\). Zbl 1098.58006Hadfield, Tom; Krähmer, Ulrich 21 2005 \(N\)-fold Čech derived functors and generalised Hopf type formulas. Zbl 1101.18008Donadze, Guram; Inassaridze, Nick; Porter, Timothy 21 2005 Flasque model structures for simplicial presheaves. Zbl 1116.18008Isaksen, Daniel C. 18 2005 Bivariant \(K\)-theory and the Weyl algebra. Zbl 1111.19003Cuntz, Joachim 17 2005 The local index formula for \(\text{SU}_{q}(2)\). Zbl 1098.58007Van Suijlekom, Walter; Dabrowski, Ludwik; Landi, Giovanni; Sitarz, Andrzej; Várilly, Joseph C. 16 2005 Elliptic operators on manifolds with singularities and \(K\)-homology. Zbl 1087.58013Savin, Anton 14 2005 Bialgebra cyclic homology with coefficients. Zbl 1114.16011Kaygun, Atabey 13 2005 A \(K\)-theory proof of the cobordism invariance of the index. Zbl 1117.58009Carvalho, Catarina 12 2005 Homotopy decompositions and \(K\)-theory of Bott towers. Zbl 1078.55016Civan, Yusuf; Ray, Nigel 11 2005 The \(K\)-theory of Heegaard-type quantum 3-spheres. Zbl 1111.46051Baum, Paul F.; Hajac, Piotr M.; Matthes, Rainer; Szymański, Wojciech 11 2005 Homology stability for unitary groups. II. Zbl 1114.19003Mirzaii, B. 7 2005 \(K\)-theory with \(\mathbb{R}/\mathbb{Z}\) coefficients and von Neumann algebras. Zbl 1113.19006Basu, Devraj 7 2005 Motives and etale motives with finite coefficients. Zbl 1088.19002Hasemeyer, Christian; Hornbostel, Jens 7 2005 Limit sets as examples in noncommutative geometry. Zbl 1106.46055Lott, John 7 2005 Twisted Hochschild homology of quantum hyperplanes. Zbl 1110.46046Sitarz, Andrzej 6 2005 A new proof of a theorem of Suslin. Zbl 1101.19002Mazzoleni, A. 6 2005 Galois cohomology of certain field extensions and the divisible case of Milnor-Kato conjecture. Zbl 1156.11343Positselski, Leonid 5 2005 Finiteness of higher \(K\)-groups of orders and group rings. Zbl 1112.19002Kuku, Aderemi 5 2005 Some Fréchet algebras for which the Chern character is an isomorphism. Zbl 1113.19002Solleveld, Maarten 5 2005 Nonexcellence of the function field of the product of two conics. Zbl 1123.11014Sivatski, A. S. 5 2005 \(E\)-theoretic duality for higher rank graph algebras. Zbl 1088.46043Popescu, Iulian; Zacharias, Joachim 5 2005 Representation rings of Lie superalgebras. Zbl 1122.19001Landweber, Gregory D. 4 2005 Cup product, étale capitulation kernels and generalized Greenberg conjecture. (Cup-produit, noyaux de capitulation étales et conjecture de Greenberg généralisée.) Zbl 1156.11342Vauclair, David 4 2005 The Brauer group of Azumaya corings and the second cohomology group. Zbl 1105.16034Caenepeel, S.; Femić, B. 4 2005 Tame kernels for biquadratic number fields. Zbl 1220.11142Yue, Qin 4 2005 On \(K_{2}\) of one-dimensional local rings. Zbl 1099.19002Krishna, Amalendu 4 2005 Trace and transfer maps in the algebraic \(K\)-theory of spaces. Zbl 1116.19001Douglas, Christopher L. 3 2005 The universal functorial equivariant Lefschetz invariant. Zbl 1111.55003Weber, Julia 3 2005 Deformation theory of dialgebras (Errata). Zbl 1101.16306Majumdar, Anita; Mukherjee, Goutam 3 2005 Numerably contractible categories. Zbl 1117.55019Minian, Elias Gabriel 2 2005 Corrigendum: Index theory and non-commutative geometry. I: Higher families index theory. Zbl 1108.58020Benameur, Moulay-Tahar; Heitsch, James L. 2 2005 A criterion for a vector bundle over a curve to admit a connection. Zbl 1106.14018Biswas, Indranil 1 2005 Algebraic \(K\)-theory of parameterized endomorphisms. Zbl 1115.18005Betley, Stanisław 1 2005 Chern classes of analytic sets. (Classes de Chern des ensembles analytiques.) Zbl 1077.57023Cavalier, Vincent; Lehmann, Daniel; Soares, Marcio G. 1 2005 The stable class of the augmentation ideal. Zbl 1094.20001Johnson, F. E. A. 1 2005 \(K_2\) of a ring via the \(G\)-construction. Zbl 1080.19003Nenashev, Alexander 1 2005 Induced projective modules over group von Neumann algebras. Zbl 1105.19003Emmanouil, Ioannis 1 2005 Trace and duality in symmetric monoidal categories. Zbl 1104.55002Nicas, Andrew 1 2005 Support varieties for selfinjective algebras. Zbl 1116.16007Erdmann, Karin; Holloway, Miles; Taillefer, Rachel; Snashall, Nicole; Solberg, Øyvind 72 2004 Batalin-Vilkovisky algebras and cyclic cohomology of Hopf algebras. Zbl 1101.19003Menichi, Luc 39 2004 Spectral flow in Fredholm modules, eta invariants and the JLO cocycle. Zbl 1051.19004Carey, Alan; Phillips, John 29 2004 A Quillen model structure for bicategories. Zbl 1069.18008Lack, Stephen 28 2004 Mapping surgery to analysis. I: Analytic signatures. Zbl 1083.19002Higson, Nigel; Roe, John 28 2004 Mapping surgery to analysis. III: Exact sequences. Zbl 1085.19002Higson, Nigel; Roe, John 25 2004 Mapping surgery to analysis. II: Geometric signatures. 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Zbl 1103.19002Chataur, David; Rodríguez, José L.; Scherer, Jérôme 2 2004 ...and 499 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,246 Authors 57 Vavilov, Nikolaĭ Aleksandrovich 38 Yu, Guoliang 34 Lück, Wolfgang 32 Rennie, Adam 31 Lin, Huaxin 26 Tabuada, Gonçalo 24 Cortiñas, Guillermo H. 23 Benameur, Moulay-Tahar 22 Dadarlat, Marius 21 Carey, Alan L. 20 Matsumoto, Kengo 19 Karpenko, Nikita Aleksandrovich 19 Krishna, Amalendu 19 Kucharz, Wojciech 19 Nest, Ryszard 18 Ara, Pere 18 Fel’shtyn, Alexander 18 Levine, Marc Noel 18 Meyer, Ralf 18 Østvær, Paul Arne 18 Weibel, Charles A. 18 Willett, Rufus 17 Sims, Aidan 17 Thomsen, Klaus E. 16 Das, Mrinal Kanti 16 Erdmann, Karin 16 Farrell, F. Thomas 16 Klein, John Robert 16 Mathai, Varghese 16 van Oystaeyen, Freddy 16 Zhang, Zuhong 15 Baues, Hans-Joachim 15 Bergh, Petter Andreas 15 Elliott, George A. 15 Guccione, Jorge Alberto 15 Guccione, Juan José 15 Kaad, Jens 15 Pardo, Enrique 15 Rao, Ravi A. 15 Schick, Thomas 15 Solotar, Andrea Leonor 15 Stepanov, Alexeĭ Vladimirovich 14 Asok, Aravind 14 Carlsen, Toke Meier 14 Hazrat, Roozbeh 14 Hochs, Peter 14 Kahn, Bruno 14 Khalkhali, Masoud 14 Landi, Giovanni 14 Mesland, Bram 14 Morimoto, Masaharu 14 Sukochev, Fedor Anatol’evich 14 Zhang, Yinhuo 13 Connes, Alain 13 Echterhoff, Siegfried 13 Panin, Ivan A. 13 Piazza, Paolo 13 Savin, Anton Yur’evich 13 van Suijlekom, Walter Daniël 13 Williams, Bruce 12 Bartels, Arthur C. 12 Cegarra, Antonio Martínez 12 Emerson, Heath 12 Goffeng, Magnus 12 Hutchinson, Kevin 12 Merkur’ev, Aleksandr Sergeevich 12 Qin, Hourong 12 Skandalis, Georges 12 Tang, Xiang 12 Troitskiĭ, Evgeniĭ Vadimovich 12 Wang, Hang 12 Weiss, Michael S. 12 Zainoulline, Kirill 11 Bachmann, Tom 11 Bak, Anthony 11 Bunke, Ulrich 11 Caenepeel, Stefaan 11 Deeley, Robin J. 11 Garkusha, Grigory 11 Geisser, Thomas H. 11 Gille, Stefan G. 11 Gong, Guihua 11 Hain, Richard M. 11 Hajac, Piotr M. 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 Phillips, N. Christopher 11 Rangipour, Bahram 11 Smith, S. Paul 11 Solleveld, Maarten 11 Waldmann, Stefan 11 Wang, Qin 11 Winter, Wilhelm ...and 3,146 more Authors all top 5 Cited in 293 Journals 291 Journal of Pure and Applied Algebra 276 Advances in Mathematics 261 Journal of Algebra 187 Journal of Functional Analysis 173 \(K\)-Theory 167 Transactions of the American Mathematical Society 155 Communications in Algebra 115 Journal of \(K\)-Theory 113 Algebraic & Geometric Topology 111 Communications in Mathematical Physics 111 Proceedings of the American Mathematical Society 108 Journal of Noncommutative Geometry 84 Mathematische Zeitschrift 77 Journal für die Reine und Angewandte Mathematik 74 Mathematische Annalen 73 Topology and its Applications 63 Journal of Geometry and Physics 59 Inventiones Mathematicae 57 Journal of Mathematical Sciences (New York) 57 Geometry & Topology 54 Journal of Homotopy and Related Structures 51 Journal of Number Theory 51 Annals of \(K\)-Theory 49 International Journal of Mathematics 48 Annales de l’Institut Fourier 47 Comptes Rendus. Mathématique. Académie des Sciences, Paris 45 Duke Mathematical Journal 41 St. Petersburg Mathematical Journal 38 Compositio Mathematica 36 Documenta Mathematica 36 Journal of Topology and Analysis 35 Letters in Mathematical Physics 31 Algebras and Representation Theory 30 Israel Journal of Mathematics 30 Forum Mathematicum 30 Applied Categorical Structures 30 Journal of Topology 29 Journal of Algebraic Geometry 28 Manuscripta Mathematica 26 Reviews in Mathematical Physics 26 Journal of the American Mathematical Society 25 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 25 Memoirs of the American Mathematical Society 25 Acta Mathematica Sinica. English Series 25 Journal of Algebra and its Applications 23 Journal of Mathematical Analysis and Applications 23 Selecta Mathematica. 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Third Series 7 Tokyo Journal of Mathematics ...and 193 more Journals all top 5 Cited in 50 Fields 1,426 \(K\)-theory (19-XX) 1,129 Functional analysis (46-XX) 991 Algebraic geometry (14-XX) 899 Algebraic topology (55-XX) 878 Category theory; homological algebra (18-XX) 834 Associative rings and algebras (16-XX) 642 Group theory and generalizations (20-XX) 540 Global analysis, analysis on manifolds (58-XX) 431 Manifolds and cell complexes (57-XX) 424 Number theory (11-XX) 240 Commutative algebra (13-XX) 238 Differential geometry (53-XX) 223 Nonassociative rings and algebras (17-XX) 216 Topological groups, Lie groups (22-XX) 214 Quantum theory (81-XX) 111 Dynamical systems and ergodic theory (37-XX) 111 Operator theory (47-XX) 85 Several complex variables and analytic spaces (32-XX) 71 Combinatorics (05-XX) 62 Field theory and polynomials (12-XX) 40 Geometry (51-XX) 36 Abstract harmonic analysis (43-XX) 33 Linear and multilinear algebra; matrix theory (15-XX) 32 General topology (54-XX) 27 Partial differential equations (35-XX) 25 Statistical mechanics, structure of matter (82-XX) 24 Order, lattices, ordered algebraic structures (06-XX) 17 Convex and discrete geometry (52-XX) 15 Special functions (33-XX) 14 Functions of a complex variable (30-XX) 14 Relativity and gravitational theory (83-XX) 13 Mathematical logic and foundations (03-XX) 11 General and overarching topics; collections (00-XX) 11 History and biography (01-XX) 9 Probability theory and stochastic processes (60-XX) 9 Mechanics of particles and systems (70-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Computer science (68-XX) 5 Measure and integration (28-XX) 4 Potential theory (31-XX) 3 General algebraic systems (08-XX) 3 Real functions (26-XX) 3 Information and communication theory, circuits (94-XX) 2 Ordinary differential equations (34-XX) 2 Difference and functional equations (39-XX) 2 Calculus of variations and optimal control; optimization (49-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