\(K\)-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 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 600 Publications have been cited 7,439 times in 5,192 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 139 1999 A theory of dimension. Zbl 0874.18005 Longo, R.; Roberts, J. E. 128 1997 Spaces over a category and assembly maps in isomorphism conjectures in \(K\)- and \(L\)-theory. Zbl 0921.19003 Davis, James F.; Lück, Wolfgang 116 1998 Calculus. II: Analytic functors. Zbl 0776.55008 Goodwillie, Thomas G. 116 1992 Generalized divisors on Gorenstein schemes. Zbl 0826.14005 Hartshorne, Robin 100 1994 Orbifolds, sheaves and groupoids. Zbl 0883.22005 Moerdijk, I.; Pronk, D. A. 80 1997 Support varieties for selfinjective algebras. Zbl 1116.16007 Erdmann, Karin; Holloway, Miles; Taillefer, Rachel; Snashall, Nicole; Solberg, Øyvind 78 2004 Decomposition of transvections: A theme with variations. Zbl 0944.20031 Stepanov, Alexei; Vavilov, Nikolai 76 2000 Calculus. I: The first derivative of pseudoisotopy theory. Zbl 0741.57021 Goodwillie, Thomas G. 74 1990 Approximately central matrix units and the structure of noncommutative tori. Zbl 0813.46064 Blackadar, Bruce; Kumjian, Alexander; Rørdam, Mikael 73 1992 Riemann-Roch theorems for Deligne-Mumford stacks. (Théorèmes de Riemann-Roch pour les champs de Deligne-Mumford.) Zbl 0946.14004 Toen, B. 72 1999 Torsion in \(K_ 2\) of fields. Zbl 0635.12015 Suslin, A. A. 71 1987 The stable \(\mathbb{A}^1\)-connectivity theorems. Zbl 1117.14023 Morel, Fabien 70 2005 Entire cyclic cohomology of Banach algebras and characters of \(\theta\)- summable Fredholm modules. Zbl 0657.46049 Connes, A. 70 1988 Nonabelian \(K\)-theory: The nilpotent class of \(K_ 1\) and general stability. Zbl 0741.19001 Bak, Anthony 69 1991 Classification of Cuntz-Krieger algebras. Zbl 0826.46064 Rørdam, Mikael 67 1995 \(C^*\)-algèbres de Hopf et théorie de Kasparov équivariante. (Hopf \(C^*\)-algebras and equivariant Kasparov theory). Zbl 0683.46048 Baaj, Saad; Skandalis, Georges 63 1989 \(K_0\) of purely infinite simple regular rings. Zbl 1012.16013 Ara, P.; Goodearl, K. R.; Pardo, E. 62 2002 Localization algebras and the coarse Baum-Connes conjecture. Zbl 0888.46047 Yu, Guoliang 61 1997 A new look at KK-theory. Zbl 0636.55001 Cuntz, Joachim 60 1987 The \(KK\)-product of unbounded modules. Zbl 0871.19004 Kucerovsky, Dan 55 1997 The Reidemeister zeta function with applications to Nielsen theory and a connection with Reidemeister torsion. Zbl 0814.58033 Fel’shtyn, Alexander; Hill, Richard 55 1994 The stability theorem for smooth pseudoisotopies. Zbl 0691.57011 Igusa, Kiyoshi 54 1988 Equivariant Kasparov theory and groupoids. I. (Théorie de Kasparov équivariante et groupoïdes. I.) Zbl 0932.19004 Le Gall, Pierre-Yves 54 1999 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 54 1988 The de Rham homotopy theory of complex algebraic varieties. I. Zbl 0637.55006 Hain, Richard M. 54 1987 Equivariant spectral triples on the quantum SU(2) group. Zbl 1028.58005 Chakraborty, Partha Sarathi; Pal, Arupkumar 51 2003 Oriented cohomology theories of algebraic varieties. Zbl 1047.19001 Panin, I. 50 2003 The Novikov conjecture for hyperbolic foliations. (La conjecture de Novikov pour les feuilletages hyperboliques.) Zbl 0932.19005 Tu, Jean Louis 49 1999 On the algebraic \(K\)-theory of twisted flag varieties. Zbl 0854.19002 Panin, I. A. 49 1994 Milnor \(K\)-theory is the simplest part of algebraic \(K\)-theory. Zbl 0776.19003 Totaro, Burt 49 1992 Generic representations of the finite general linear groups and the Steenrod algebra. II. Zbl 0830.20065 Kuhn, Nicholas J. 48 1994 An Atiyah-Hirzebruch spectral sequence for \(KR\)-theory. Zbl 1109.14024 Dugger, Daniel 48 2005 Coarse Baum-Connes conjecture. Zbl 0829.19004 Yu, Guoliang 46 1995 A Quillen model structure for 2-categories. Zbl 1017.18005 Lack, Stephen 45 2002 Dimension theory and nonstable \(K_{1}\) of quadratic modules. Zbl 1020.19001 Hazrat, Roozbeh 45 2002 Noncommutative homology of some three-dimensional quantum spaces. Zbl 0814.16006 Van den Bergh, Michel 42 1994 Batalin-Vilkovisky algebras and cyclic cohomology of Hopf algebras. Zbl 1101.19003 Menichi, Luc 42 2004 Triangular Witt groups. I: The 12-term localization exact sequence. Zbl 0953.18003 Balmer, Paul 41 2000 Codimension 2 cycles on Severi-Brauer varieties. Zbl 0896.19002 Karpenko, Nikita A. 41 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 0934.18008 Tamsamani, Zouhair 41 1999 Index reduction formulas for twisted flag varieties. I. Zbl 0874.16012 Merkurjev, A. S.; Panin, I. A.; Wadsworth, A. R. 41 1996 Cyclic cohomology of etale groupoids. Zbl 0812.19003 Brylinski, J.-L.; Nistor, Victor 40 1994 Quantum Yang-Baxter module algebras. Zbl 0829.16032 Caenepeel, S.; Van Oystaeyen, Fred; Zhang, Y. H. 40 1994 Overgroups of unitary groups. Zbl 1040.20039 Petrov, Viktor 38 2003 On the structure of the \(K_ 2\) of the ring of integers in a number field. Zbl 0705.19007 Keune, Frans 37 1989 Index theorem for equivariant Dirac operators on noncompact manifolds. Zbl 1020.58020 Braverman, Maxim 37 2002 Noncommutative differential geometry on the quantum two sphere of Podlès. I: An algebraic viewpoint. Zbl 0763.46059 Masuda, Tetsuya; Nakagami, Yoshiomi; Watanabe, Junsei 37 1991 Fourier series, measures and divided power series in the theory of function fields. Zbl 0675.12006 Goss, David 36 1989 Towards an axiomatization of the theory of higher categories. (Vers une axiomatisation de la théorie des catégories supérieures.) Zbl 1083.18003 Toën, Bertrand 36 2005 Symmetric spectra and topological Hochschild homology. Zbl 0938.55017 Shipley, Brooke 35 2000 K-theory of reduced \(C^*\)-algebras and rapidly decreasing functions on groups. Zbl 0692.46062 Jolissaint, Paul 34 1989 A Quillen model structure for bicategories. Zbl 1069.18008 Lack, Stephen 34 2004 Mapping surgery to analysis. I: Analytic signatures. Zbl 1083.19002 Higson, Nigel; Roe, John 33 2004 2-nerves for bicategories. Zbl 1155.18006 Lack, Stephen; Paoli, Simona 32 2008 Cyclic cohomology of étale groupoids: The general case. Zbl 0937.19007 Crainic, Marius 32 1999 \(C^*\)-algebras and controlled topology. Zbl 0879.19003 Higson, Nigel; Pedersen, Erik Kjær; Roe, John 32 1997 Groups acting on buildings, operator \(K\)-theory, and Novikov’s conjecture. Zbl 0738.46035 Kasparov, G. G.; Skandalis, G. 32 1991 Smoothness and locality for nonunital spectral triples. Zbl 1027.46088 Rennie, A. 32 2003 Some algebraic properties of cyclic homology groups. Zbl 0636.18005 Hood, Christine E.; Jones, John D. S. 31 1987 Elementary groups and stability for Jordan pairs. Zbl 0835.17021 Loos, Ottmar 30 1995 \(d^N=0\): Generalized homology. Zbl 0918.18008 Dubois-Violette, Michel 30 1998 Equivariant Kasparov theory and generalized homomorphisms. Zbl 0982.19004 Meyer, Ralf 30 2000 Spectral flow in Fredholm modules, eta invariants and the JLO cocycle. Zbl 1051.19004 Carey, Alan; Phillips, John 30 2004 Galois descent and \(K_ 2\) of number fields. (Descente galoisienne et \(K_ 2\) des corps de nombres.) Zbl 0780.12007 Kahn, Bruno 29 1993 Mapping surgery to analysis. III: Exact sequences. Zbl 1085.19002 Higson, Nigel; Roe, John 29 2004 Mapping surgery to analysis. II: Geometric signatures. Zbl 1083.19003 Higson, Nigel; Roe, John 28 2004 Cyclic homology of algebras with one generator. Zbl 0743.13008 The Buenos Aires Cyclic Homology Group 28 1991 Higher eta-invariants. Zbl 0773.58026 Lott, John 28 1992 The lower algebraic \(K\)-theory of virtually infinite cyclic groups. Zbl 0829.19002 Farrell, F. T.; Jones, L. E. 27 1995 Cyclic cohomology and algebra extensions. Zbl 0696.16021 Quillen, Daniel 27 1989 On Milnor K-groups attached to semi-Abelian varieties. Zbl 0721.14003 Somekawa, M. 27 1990 Local projective model structures on simplicial presheaves. Zbl 1073.14517 Blander, Benjamin A. 27 2001 Vector bundles over real algebraic varieties. Zbl 0761.14020 Bochnak, J.; Buchner, M.; Kucharz, W. 27 1989 Representable K-theory for \(\sigma\)-C\({}^*\)-algebras. Zbl 0709.46033 Phillips, N. Christopher 26 1989 Auslander-Reiten theory via Brown representability. Zbl 0970.18012 Krause, Henning 26 2000 Bivariant cyclic theory. Zbl 0755.18008 Jones, John D. S.; Kassel, Christian 25 1989 The homology of algebras of pseudo-differential symbols and the noncommutative residue. Zbl 0646.58026 Brylinski, Jean-Luc; Getzler, Ezra 25 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 Algebraic string operations. Zbl 1144.55012 Tradler, Thomas; Zeinalian, Mahmoud 24 2007 Rost’s cohomological invariants in positive characteristic. (Invariants cohomologiques de Rost en caractéristique positive.) Zbl 0993.20031 Gille, Philippe 24 2000 Witt cohomology, Mayer-Vietoris, homotopy invariance and the Gersten conjecture. Zbl 0987.19002 Balmer, Paul 24 2001 Stability for quadratic \(K_1\). Zbl 1048.19001 Bak, Anthony; Petrov, Viktor; Guoping, Tang 24 2003 On the geometry of 2-categories and their classifying spaces. Zbl 1037.18003 Bullejos, M.; Cegarra, A. M. 24 2003 Approximately unitarily equivalent morphisms and inductive limit \(C^*\)- algebras. Zbl 0828.46055 Dadarlat, Marius 23 1995 Hermitian groups and \(K\)-theory. Zbl 0899.19003 Tang, Guoping 23 1998 On the word length of commutators in \(\text{GL}_n(R)\). Zbl 0935.20037 Sivatski, A. S.; Stepanov, A. V. 23 1999 Brown-Peterson cohomology from Morava \(K\)-theory. Zbl 0912.55002 Ravenel, Douglas C.; Wilson, W. Stephen; Yagita, Nobuaki 23 1998 Real \(C^*\)-algebras, united \(K\)-theory, and the Künneth formula. Zbl 1024.46021 Boersema, Jeffrey L. 23 2002 Squeezing and higher algebraic \(K\)-theory. Zbl 1036.19002 Bartels, Arthur C. 23 2003 Finite-dimensional motives and the conjectures of Beilinson and Murre. Zbl 1060.19001 Guletskiǐ, V.; Pedrini, C. 23 2003 Index reduction formulas for twisted flag varieties. II. Zbl 0918.16013 Merkurjev, A. S.; Panin, I. A.; Wadsworth, A. R. 22 1998 Index in \(K\)-theory for families of fibred cusp operators. Zbl 1126.58010 Melrose, Richard; Rochon, Frédéric 22 2006 2-groupoid enrichments in homotopy theory and algebra. Zbl 1009.18007 Kamps, K. H.; Porter, T. 22 2002 Computations of \(K\)- and \(L\)-theory of cocompact planar groups. Zbl 0979.19003 Lück, Wolfgang; Stamm, Roland 22 2000 Caractère multiplicatif d’un module de Fredholm. (Multiplicative character of a Fredholm module). Zbl 0671.46034 Connes, Alain; Karoubi, Max 22 1988 Exterior power operations on higher K-theory. Zbl 0701.18007 Grayson, Daniel R. 21 1989 The center of the \(3\)-dimensional and \(4\)-dimensional Sklyanin algebras. Zbl 0809.16053 Smith, S. P.; Tate, J. 21 1994 \(N\)-fold Čech derived functors and generalised Hopf type formulas. Zbl 1101.18008 Donadze, Guram; Inassaridze, Nick; Porter, Timothy 21 2005 Twisted homology of quantum \(\text{SL}(2)\). Zbl 1098.58006 Hadfield, Tom; Krähmer, Ulrich 21 2005 2-nerves for bicategories. Zbl 1155.18006 Lack, Stephen; Paoli, Simona 32 2008 A nice group structure on the orbit space of unimodular rows. Zbl 1143.13013 Garge, Anuradha S.; Rao, Ravi A. 14 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 7 2008 Twisted equivariant \(K\)-theory for proper actions of discrete groups. Zbl 1141.19004 Dwyer, Christopher 7 2008 On the classification and properties of noncommutative duplicates. Zbl 1189.16012 López Peña, Javier; Navarro, Gabriel 7 2008 Morava \(K\)-theory rings for the modular groups in Chern classes. Zbl 1144.55016 Bakuradze, Malkhaz 6 2008 On a spectral sequence for equivariant \(K\)-theory. Zbl 1144.19003 Levine, Marc; Serpé, Christian 2 2008 Algebraic string operations. Zbl 1144.55012 Tradler, Thomas; Zeinalian, Mahmoud 24 2007 Enlargeability and index theory: infinite covers. Zbl 1128.58012 Hanke, Bernhard; Schick, Thomas 14 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 3 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 22 2006 Chow’s moving Lemma and the homotopy coniveau tower. Zbl 1117.19003 Levine, Marc 14 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 8 2006 Semilattices of groups and nonstable K-theory of extended Cuntz limits. Zbl 1114.46050 Pardo, Enrique; Wehrung, Friedrich 6 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 Diagrams and torsors. Zbl 1106.14008 Jardine, J. F. 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 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 70 2005 An Atiyah-Hirzebruch spectral sequence for \(KR\)-theory. Zbl 1109.14024 Dugger, Daniel 48 2005 Towards an axiomatization of the theory of higher categories. (Vers une axiomatisation de la théorie des catégories supérieures.) Zbl 1083.18003 Toën, Bertrand 36 2005 \(N\)-fold Čech derived functors and generalised Hopf type formulas. Zbl 1101.18008 Donadze, Guram; Inassaridze, Nick; Porter, Timothy 21 2005 Twisted homology of quantum \(\text{SL}(2)\). Zbl 1098.58006 Hadfield, Tom; Krähmer, Ulrich 21 2005 \(K_1\) of some non-commutative completed group rings. Zbl 1080.19002 Kato, Kazuya 21 2005 Flasque model structures for simplicial presheaves. Zbl 1116.18008 Isaksen, Daniel C. 20 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. 20 2005 Bivariant \(K\)-theory and the Weyl algebra. Zbl 1111.19003 Cuntz, Joachim 19 2005 Homotopy decompositions and \(K\)-theory of Bott towers. Zbl 1078.55016 Civan, Yusuf; Ray, Nigel 15 2005 Elliptic operators on manifolds with singularities and \(K\)-homology. Zbl 1087.58013 Savin, Anton 15 2005 Bialgebra cyclic homology with coefficients. Zbl 1114.16011 Kaygun, Atabey 15 2005 A \(K\)-theory proof of the cobordism invariance of the index. Zbl 1117.58009 Carvalho, Catarina 13 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 Limit sets as examples in noncommutative geometry. Zbl 1106.46055 Lott, John 8 2005 Homology stability for unitary groups. II. Zbl 1114.19003 Mirzaii, B. 7 2005 \(K\)-theory with \(\mathbb{R}/\mathbb{Z}\) coefficients and von Neumann algebras. Zbl 1113.19006 Basu, Devraj 7 2005 Motives and etale motives with finite coefficients. Zbl 1088.19002 Hasemeyer, Christian; Hornbostel, Jens 7 2005 Some Fréchet algebras for which the Chern character is an isomorphism. Zbl 1113.19002 Solleveld, Maarten 6 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 \(E\)-theoretic duality for higher rank graph algebras. Zbl 1088.46043 Popescu, Iulian; Zacharias, Joachim 6 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 Representation rings of Lie superalgebras. Zbl 1122.19001 Landweber, Gregory D. 5 2005 Nonexcellence of the function field of the product of two conics. Zbl 1123.11014 Sivatski, A. S. 5 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 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 The universal functorial equivariant Lefschetz invariant. Zbl 1111.55003 Weber, Julia 3 2005 Corrigendum: Index theory and non-commutative geometry. I: Higher families index theory. Zbl 1108.58020 Benameur, Moulay-Tahar; Heitsch, James L. 3 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 Numerably contractible categories. Zbl 1117.55019 Minian, Elias Gabriel 2 2005 Trace and duality in symmetric monoidal categories. Zbl 1104.55002 Nicas, Andrew 2 2005 \(\psi^{3}\) as an upper triangular matrix. Zbl 1114.55003 Barker, Jonathan; Snaith, Victor 1 2005 A criterion for a vector bundle over a curve to admit a connection. Zbl 1106.14018 Biswas, Indranil 1 2005 Algebraic \(K\)-theory of parameterized endomorphisms. Zbl 1115.18005 Betley, Stanisław 1 2005 Induced projective modules over group von Neumann algebras. Zbl 1105.19003 Emmanouil, Ioannis 1 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 Support varieties for selfinjective algebras. Zbl 1116.16007 Erdmann, Karin; Holloway, Miles; Taillefer, Rachel; Snashall, Nicole; Solberg, Øyvind 78 2004 Batalin-Vilkovisky algebras and cyclic cohomology of Hopf algebras. Zbl 1101.19003 Menichi, Luc 42 2004 A Quillen model structure for bicategories. Zbl 1069.18008 Lack, Stephen 34 2004 Mapping surgery to analysis. I: Analytic signatures. Zbl 1083.19002 Higson, Nigel; Roe, John 33 2004 Spectral flow in Fredholm modules, eta invariants and the JLO cocycle. Zbl 1051.19004 Carey, Alan; Phillips, John 30 2004 Mapping surgery to analysis. III: Exact sequences. Zbl 1085.19002 Higson, Nigel; Roe, John 29 2004 Mapping surgery to analysis. II: Geometric signatures. Zbl 1083.19003 Higson, Nigel; Roe, John 28 2004 Schur functors and motives. Zbl 1071.14026 Mazza, Carlo 16 2004 Splitting with continuous control in algebraic \(K\)-theory. Zbl 1068.19008 Rosenthal, David 16 2004 Cocycle twisting of \(E(n)\)-module algebras and applications to the Brauer group. 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Thomas 17 Kaad, Jens 17 Sims, Aidan 17 Thomsen, Klaus E. 16 Asok, Aravind 16 Das, Mrinal Kanti 16 Klein, John Robert 16 Mathai, Varghese 16 Panin, Ivan A. 16 Solotar, Andrea Leonor 16 van Oystaeyen, Freddy 16 Zhang, Zuhong 15 Baues, Hans-Joachim 15 Bergh, Petter Andreas 15 Elliott, George A. 15 Garkusha, Grigory 15 Guccione, Jorge Alberto 15 Guccione, Juan José 15 Hazrat, Roozbeh 15 Landi, Giovanni 15 Mesland, Bram 15 Morimoto, Masaharu 15 Pardo, Enrique 15 Rao, Ravi A. 15 Stepanov, Alexeĭ Vladimirovich 15 Troitskiĭ, Evgeniĭ Vadimovich 15 Wang, Qin 14 Bunke, Ulrich 14 Carlsen, Toke Meier 14 Connes, Alain 14 Echterhoff, Siegfried 14 Gong, Guihua 14 Hochs, Peter 14 Kahn, Bruno 14 Khalkhali, Masoud 14 Savin, Anton Yur’evich 14 Sukochev, Fedor Anatol’evich 14 Tang, Xiang 14 van Suijlekom, Walter Daniël 14 Williams, Bruce 14 Zhang, Yinhuo 13 Deeley, Robin J. 13 Gille, Stefan G. 13 Goffeng, Magnus 13 Merkur’ev, Aleksandr Sergeevich 13 Piazza, Paolo 13 Wang, Hang 12 Bachmann, Tom 12 Bartels, Arthur C. 12 Cegarra, Antonio Martínez 12 Chen, Xiaoman 12 Emerson, Heath 12 Fasel, Jean 12 Geisser, Thomas H. 12 Giorgetti, Luca 12 Hutchinson, Kevin 12 Kaygun, Atabey 12 Manuĭlov, Vladimir Markovich 12 Penneys, David 12 Qin, Hourong 12 Skandalis, Georges 12 Weiss, Michael S. 12 Xie, Zhizhang 12 Zainoulline, Kirill 11 Bak, Anthony 11 Caenepeel, Stefaan 11 Chirvăsitu, Alexandru 11 Engel, Alexander 11 Hain, Richard M. 11 Hajac, Piotr M. 11 Heitsch, James L. 11 Igusa, Kiyoshi 11 Li, Kang 11 Lindenstrauss, Ayelet 11 Longo, Roberto 11 Loring, Terry A. ...and 3,417 more Authors all top 5 Cited in 319 Journals 300 Journal of Pure and Applied Algebra 289 Advances in Mathematics 273 Journal of Algebra 201 Journal of Functional Analysis 173 \(K\)-Theory 172 Transactions of the American Mathematical Society 159 Communications in Algebra 120 Algebraic & Geometric Topology 119 Journal of Noncommutative Geometry 118 Communications in Mathematical Physics 117 Proceedings of the American Mathematical Society 115 Journal of \(K\)-Theory 92 Mathematische Zeitschrift 85 Mathematische Annalen 82 Journal für die Reine und Angewandte Mathematik 79 Topology and its Applications 70 Journal of Geometry and Physics 62 Geometry & Topology 61 Inventiones Mathematicae 59 Journal of Homotopy and Related Structures 57 Journal of Mathematical Sciences (New York) 55 Annals of \(K\)-Theory 53 Journal of Number Theory 50 International Journal of Mathematics 48 Annales de l’Institut Fourier 48 Comptes Rendus. Mathématique. Académie des Sciences, Paris 47 Duke Mathematical Journal 46 Journal of Topology 45 St. Petersburg Mathematical Journal 41 Compositio Mathematica 40 Documenta Mathematica 40 Journal of Topology and Analysis 36 Letters in Mathematical Physics 34 Manuscripta Mathematica 32 Israel Journal of Mathematics 32 Forum Mathematicum 32 Applied Categorical Structures 32 Algebras and Representation Theory 31 Theory and Applications of Categories 29 Journal of the American Mathematical Society 29 Journal of Algebraic Geometry 28 Memoirs of the American Mathematical Society 27 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 27 Selecta Mathematica. New Series 26 Journal of Mathematical Analysis and Applications 26 Reviews in Mathematical Physics 26 Bulletin of the London Mathematical Society 26 Acta Mathematica Sinica. English Series 26 Journal of Algebra and its Applications 23 Journal of the Institute of Mathematics of Jussieu 22 Journal of Mathematical Physics 22 Rocky Mountain Journal of Mathematics 20 Geometriae Dedicata 20 Proceedings of the London Mathematical Society. Third Series 19 Mathematical Proceedings of the Cambridge Philosophical Society 19 Ergodic Theory and Dynamical Systems 18 Bulletin de la Société Mathématique de France 17 Journal of the London Mathematical Society. Second Series 17 Pacific Journal of Mathematics 17 Geometric and Functional Analysis. GAFA 17 Transformation Groups 17 Forum of Mathematics, Sigma 16 Publications Mathématiques 16 The New York Journal of Mathematics 16 Journal of the European Mathematical Society (JEMS) 16 Groups, Geometry, and Dynamics 15 Annals of Mathematics. Second Series 14 Mathematische Nachrichten 14 Journal de Théorie des Nombres de Bordeaux 13 Publications of the Research Institute for Mathematical Sciences, Kyoto University 13 Bulletin of the American Mathematical Society. New Series 13 Indagationes Mathematicae. New Series 13 Russian Journal of Mathematical Physics 13 Journal of the Australian Mathematical Society 13 Central European Journal of Mathematics 13 International Journal of Geometric Methods in Modern Physics 12 Archiv der Mathematik 12 Expositiones Mathematicae 12 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 12 Science China. Mathematics 12 Higher Structures 11 Oberwolfach Reports 11 Algebra & Number Theory 10 Mathematical Notes 10 Integral Equations and Operator Theory 10 Annales Mathématiques Blaise Pascal 10 Communications in Contemporary Mathematics 10 Annales Henri Poincaré 10 Kyoto Journal of Mathematics 10 Transactions of the American Mathematical Society. Series B 10 Tunisian Journal of Mathematics 9 Acta Mathematica 9 Glasgow Mathematical Journal 9 Proceedings of the Edinburgh Mathematical Society. Series II 9 Chinese Annals of Mathematics. Series B 9 Science in China. Series A 8 Indian Journal of Pure & Applied Mathematics 8 Nagoya Mathematical Journal 8 Osaka Journal of Mathematics 8 Journal of the Ramanujan Mathematical Society ...and 219 more Journals all top 5 Cited in 50 Fields 1,534 \(K\)-theory (19-XX) 1,216 Functional analysis (46-XX) 1,084 Algebraic geometry (14-XX) 987 Algebraic topology (55-XX) 972 Category theory; homological algebra (18-XX) 885 Associative rings and algebras (16-XX) 717 Group theory and generalizations (20-XX) 587 Global analysis, analysis on manifolds (58-XX) 474 Manifolds and cell complexes (57-XX) 455 Number theory (11-XX) 262 Differential geometry (53-XX) 261 Commutative algebra (13-XX) 241 Nonassociative rings and algebras (17-XX) 237 Topological groups, Lie groups (22-XX) 230 Quantum theory (81-XX) 122 Dynamical systems and ergodic theory (37-XX) 118 Operator theory (47-XX) 100 Several complex variables and analytic spaces (32-XX) 74 Combinatorics (05-XX) 66 Field theory and polynomials (12-XX) 51 Geometry (51-XX) 37 Linear and multilinear algebra; matrix theory (15-XX) 37 Abstract harmonic analysis (43-XX) 33 General topology (54-XX) 28 Order, lattices, ordered algebraic structures (06-XX) 28 Partial differential equations (35-XX) 27 Statistical mechanics, structure of matter (82-XX) 20 Convex and discrete geometry (52-XX) 18 Mathematical logic and foundations (03-XX) 16 General and overarching topics; collections (00-XX) 16 Functions of a complex variable (30-XX) 16 Special functions (33-XX) 16 Relativity and gravitational theory (83-XX) 11 History and biography (01-XX) 10 Probability theory and stochastic processes (60-XX) 9 Mechanics of particles and systems (70-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 8 Computer science (68-XX) 5 Measure and integration (28-XX) 4 General algebraic systems (08-XX) 4 Potential theory (31-XX) 4 Information and communication theory, circuits (94-XX) 3 Real functions (26-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