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Kasparov, Gennadi G.

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Author ID: kasparov.gennadi-g Recent zbMATH articles by "Kasparov, Gennadi G."
Published as: Kasparov, G. G.; Kasparov, Gennadi; Kasparov, Gennadi G.; Kasparov, Guennadi
External Links: Math-Net.Ru
Documents Indexed: 32 Publications since 1969

Publications by Year

Citations contained in zbMATH Open

28 Publications have been cited 1,071 times in 695 Documents Cited by Year
Equivariant KK-theory and the Novikov conjecture. Zbl 0647.46053
Kasparov, G. G.
287
1988
Hilbert C*-modules: Theorems of Stinespring and Voiculescu. Zbl 0456.46059
Kasparov, G. G.
126
1980
The operator K-functor and extensions of C*-algebras. Zbl 0464.46054
Kasparov, G. G.
110
1981
\(E\)-theory and \(KK\)-theory for groups which act properly and isometrically on Hilbert space. Zbl 0988.19003
Higson, Nigel; Kasparov, Gennadi
103
2001
Operator-K-Funktoren und Erweiterungen von C*-Algebren. Zbl 0448.46051
Kasparov, G. G.
87
1980
Groups acting properly on “bolic” spaces and the Novikov conjecture. Zbl 1029.19003
Kasparov, Gennadi; Skandalis, Georges
41
2003
The coarse geometric Novikov conjecture and uniform convexity. Zbl 1102.19003
Kasparov, Gennadi; Yu, Guoliang
35
2006
\(K\)-theory, group \(C^*\)-algebras, and higher signatures (conspectus). Zbl 0957.58020
Kasparov, G. G.
35
1995
Topological invariants of elliptic operators. I: K-homology. Zbl 0337.58006
Kasparov, G. G.
33
1976
Operator \(K\)-theory for groups which act properly and isometrically on Hilbert space. Zbl 0888.46046
Higson, Nigel; Kasparov, Gennadi
30
1997
Groups acting on buildings, operator \(K\)-theory, and Novikov’s conjecture. Zbl 0738.46035
Kasparov, G. G.; Skandalis, G.
28
1991
Lorentz groups: K-theory of unitary representations and crossed products. Zbl 0584.22004
Kasparov, G. G.
24
1984
A Bott periodicity theorem for infinite dimensional Euclidean space. Zbl 0911.46040
Higson, Nigel; Kasparov, Gennadi; Trout, Jody
21
1998
Operator \(K\)-theory for the group \(SU(n,1)\). Zbl 0819.19004
Julg, Pierre; Kasparov, Gennadi
20
1995
Topologische Invarianten elliptischer Operatoren. I: K-Homologien. Zbl 0328.58016
Kasparov, G. G.
18
1975
The Novikov conjecture and geometry of Banach spaces. Zbl 1257.19003
Kasparov, Gennadi; Yu, Guoliang
15
2012
An index for invariant elliptic operators, K-theory, and representations of Lie groups. Zbl 0526.22007
Kasparov, G. G.
13
1983
Elliptic and transversally elliptic index theory from the viewpoint of \(KK\)-theory. Zbl 1358.19001
Kasparov, Gennadi
11
2016
Operator K-theory and its applications: Elliptic operators, group representations, higher signatures, \(C^*\)-extensions. Zbl 0571.46047
Kasparov, G. G.
8
1984
“Bolic” groups and Novikov’s conjecture. (Groupes “boliques” et conjecture de Novikov.) Zbl 0839.19003
Kasparov, Guennadi; Skandalis, Georges
6
1994
Operator \(K\)-theory and its applications. Zbl 0616.46064
Kasparov, G. G.
4
1987
Die Invarianten der klassischen Linsenmannigfaltigkeiten in der Kobordismentheorie. Zbl 0195.24903
Kasparov, G. G.
4
1969
On the homotopy invariance of the rational Pontryagin numbers. Zbl 0212.28402
Kasparov, G. G.
3
1970
Novikov’s conjecture on higher signatures: The operator \(K\)-theory approach. Zbl 0788.19005
Kasparov, Gennadi
3
1993
Relative \(K\)-homology and \(K\)-homology of an ideal. Zbl 0744.46070
Kasparov, G. G.
2
1991
Der K-Funktor in der Theorie der Erweiterungen von C*-Algebren. Zbl 0421.46057
Kasparov, G. G.
2
1979
Groupes agissant sur des immeubles de Bruhat-Tits, K-théorie opératorielle et conjecture de Novikov. (Groups acting on Bruhat-Tits buildings, operator K-theory and Novikov’s conjecture). Zbl 0705.19010
Kasparov, Gennadi G.; Skandalis, Georges
1
1990
The K-functor in the theory of extensions of C*-algebras. Zbl 0447.46053
Kasparov, G. G.
1
1980
Elliptic and transversally elliptic index theory from the viewpoint of \(KK\)-theory. Zbl 1358.19001
Kasparov, Gennadi
11
2016
The Novikov conjecture and geometry of Banach spaces. Zbl 1257.19003
Kasparov, Gennadi; Yu, Guoliang
15
2012
The coarse geometric Novikov conjecture and uniform convexity. Zbl 1102.19003
Kasparov, Gennadi; Yu, Guoliang
35
2006
Groups acting properly on “bolic” spaces and the Novikov conjecture. Zbl 1029.19003
Kasparov, Gennadi; Skandalis, Georges
41
2003
\(E\)-theory and \(KK\)-theory for groups which act properly and isometrically on Hilbert space. Zbl 0988.19003
Higson, Nigel; Kasparov, Gennadi
103
2001
A Bott periodicity theorem for infinite dimensional Euclidean space. Zbl 0911.46040
Higson, Nigel; Kasparov, Gennadi; Trout, Jody
21
1998
Operator \(K\)-theory for groups which act properly and isometrically on Hilbert space. Zbl 0888.46046
Higson, Nigel; Kasparov, Gennadi
30
1997
\(K\)-theory, group \(C^*\)-algebras, and higher signatures (conspectus). Zbl 0957.58020
Kasparov, G. G.
35
1995
Operator \(K\)-theory for the group \(SU(n,1)\). Zbl 0819.19004
Julg, Pierre; Kasparov, Gennadi
20
1995
“Bolic” groups and Novikov’s conjecture. (Groupes “boliques” et conjecture de Novikov.) Zbl 0839.19003
Kasparov, Guennadi; Skandalis, Georges
6
1994
Novikov’s conjecture on higher signatures: The operator \(K\)-theory approach. Zbl 0788.19005
Kasparov, Gennadi
3
1993
Groups acting on buildings, operator \(K\)-theory, and Novikov’s conjecture. Zbl 0738.46035
Kasparov, G. G.; Skandalis, G.
28
1991
Relative \(K\)-homology and \(K\)-homology of an ideal. Zbl 0744.46070
Kasparov, G. G.
2
1991
Groupes agissant sur des immeubles de Bruhat-Tits, K-théorie opératorielle et conjecture de Novikov. (Groups acting on Bruhat-Tits buildings, operator K-theory and Novikov’s conjecture). Zbl 0705.19010
Kasparov, Gennadi G.; Skandalis, Georges
1
1990
Equivariant KK-theory and the Novikov conjecture. Zbl 0647.46053
Kasparov, G. G.
287
1988
Operator \(K\)-theory and its applications. Zbl 0616.46064
Kasparov, G. G.
4
1987
Lorentz groups: K-theory of unitary representations and crossed products. Zbl 0584.22004
Kasparov, G. G.
24
1984
Operator K-theory and its applications: Elliptic operators, group representations, higher signatures, \(C^*\)-extensions. Zbl 0571.46047
Kasparov, G. G.
8
1984
An index for invariant elliptic operators, K-theory, and representations of Lie groups. Zbl 0526.22007
Kasparov, G. G.
13
1983
The operator K-functor and extensions of C*-algebras. Zbl 0464.46054
Kasparov, G. G.
110
1981
Hilbert C*-modules: Theorems of Stinespring and Voiculescu. Zbl 0456.46059
Kasparov, G. G.
126
1980
Operator-K-Funktoren und Erweiterungen von C*-Algebren. Zbl 0448.46051
Kasparov, G. G.
87
1980
The K-functor in the theory of extensions of C*-algebras. Zbl 0447.46053
Kasparov, G. G.
1
1980
Der K-Funktor in der Theorie der Erweiterungen von C*-Algebren. Zbl 0421.46057
Kasparov, G. G.
2
1979
Topological invariants of elliptic operators. I: K-homology. Zbl 0337.58006
Kasparov, G. G.
33
1976
Topologische Invarianten elliptischer Operatoren. I: K-Homologien. Zbl 0328.58016
Kasparov, G. G.
18
1975
On the homotopy invariance of the rational Pontryagin numbers. Zbl 0212.28402
Kasparov, G. G.
3
1970
Die Invarianten der klassischen Linsenmannigfaltigkeiten in der Kobordismentheorie. Zbl 0195.24903
Kasparov, G. G.
4
1969
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Cited by 538 Authors

24 Yu, Guoliang
23 Rennie, Adam
19 Dadarlat, Marius
15 Skandalis, Georges
12 Emerson, Heath
12 Mesland, Bram
12 Meyer, Ralf
12 Rosenberg, Jonathan Micah
11 Echterhoff, Siegfried
10 Benameur, Moulay-Tahar
10 Carey, Alan L.
10 Higson, Nigel
10 Kucerovsky, Dan Z.
10 Troitskiĭ, Evgeniĭ Vadimovich
10 Valette, Alain
10 Vasselli, Ezio
10 Weinberger, Shmuel
9 Kasparov, Gennadi G.
9 Lück, Wolfgang
9 Wang, Qin
8 Connes, Alain
8 Debord, Claire
8 Deeley, Robin J.
8 Manuĭlov, Vladimir Markovich
8 Mathai, Varghese
7 Burgstaller, Bernhard
7 Kaad, Jens
7 Nest, Ryszard
7 Thomsen, Klaus E.
6 Chen, Xiaoman
6 Douglas, Ronald George
6 Goffeng, Magnus
6 Kaminker, Jerome
6 Kubota, Yosuke
6 Ng, Ping Wong
6 Oyono-Oyono, Hervé
6 Phillips, N. Christopher
6 Savin, Anton Yur’evich
6 Schick, Thomas
6 Schochet, Claude L.
6 van Suijlekom, Walter Daniël
6 Xie, Zhizhang
5 Bourne, Chris
5 Gheondea, Aurelian
5 Guentner, Erik Paul
5 Lescure, Jean-Marie
5 Li, Xin
5 Lott, John
5 Piazza, Paolo
5 Sternin, Boris Yur’evich
5 van den Dungen, Koenraad Lambertus
5 Voigt, Christian
4 Barlak, Selçuk
4 Baum, Paul Frank
4 Elliott, George A.
4 Germain, Emmanuel
4 Gong, Guihua
4 Haskell, Peter
4 Hochs, Peter
4 Julg, Pierre
4 Kaliszewski, Steven Paul
4 Loring, Terry A.
4 Naor, Assaf
4 Nistor, Victor
4 Paravicini, Walther Dietrich
4 Phillips, John
4 Quigg, John C.
4 Roy, Indrava
4 Sims, Aidan
4 Song, Yanli
4 Wang, Hang
4 Wang, Xianjin
4 Watatani, Yasuo
4 Willett, Rufus
4 Winter, Wilhelm
3 Arici, Francesca
3 Ay, Serdar
3 Buss, Alcides
3 Cheng, Qingjin
3 Cuntz, Joachim
3 Frank, Michael
3 Fu, Benyin
3 Grigorchuk, Rostislav Ivanovich
3 Guo, Hao
3 Heo, Jaeseong
3 Hilsum, Michel
3 Hirshberg, Ilan
3 Ji, Ronghui
3 Ji, Un Cig
3 Kajiwara, Tsuyoshi
3 Kirchberg, Eberhard
3 Lancien, Gilles
3 Lee, Hyunho
3 Lesch, Matthias
3 Lin, Huaxin
3 Loizides, Yiannis
3 Mahanta, Snigdhayan
3 Mendel, Manor
3 Ogle, Crichton
3 Ozawa, Narutaka
...and 438 more Authors
all top 5

Cited in 127 Serials

94 Journal of Functional Analysis
41 Advances in Mathematics
41 \(K\)-Theory
35 Journal of Noncommutative Geometry
26 Journal of Geometry and Physics
24 Transactions of the American Mathematical Society
22 Communications in Mathematical Physics
21 Proceedings of the American Mathematical Society
19 Mathematische Annalen
17 Journal of Mathematical Analysis and Applications
15 Journal für die Reine und Angewandte Mathematik
15 Journal of \(K\)-Theory
13 International Journal of Mathematics
12 Journal of Topology and Analysis
10 Annales de l’Institut Fourier
10 Inventiones Mathematicae
9 Duke Mathematical Journal
9 Bulletin of the American Mathematical Society. New Series
9 Geometry & Topology
7 Integral Equations and Operator Theory
7 Ergodic Theory and Dynamical Systems
6 Publications Mathématiques
6 Topology and its Applications
6 Geometric and Functional Analysis. GAFA
6 Journal of Mathematical Sciences (New York)
6 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 Journal of Mathematical Physics
5 Rocky Mountain Journal of Mathematics
5 Journal of Pure and Applied Algebra
5 Expositiones Mathematicae
5 Russian Journal of Mathematical Physics
5 Documenta Mathematica
5 Annals of \(K\)-Theory
4 Letters in Mathematical Physics
4 Mathematical Proceedings of the Cambridge Philosophical Society
4 Studia Mathematica
4 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
4 Geometriae Dedicata
4 Chinese Annals of Mathematics. Series B
4 Annals of Global Analysis and Geometry
4 Annales Henri Poincaré
4 Algebraic & Geometric Topology
3 Israel Journal of Mathematics
3 Mathematical Notes
3 Reviews in Mathematical Physics
3 Functional Analysis and its Applications
3 Glasgow Mathematical Journal
3 Memoirs of the American Mathematical Society
3 Annals of Mathematics. Second Series
3 Journal of the Australian Mathematical Society
3 Complex Analysis and Operator Theory
3 Journal of Topology
3 Kyoto Journal of Mathematics
3 Analysis and Geometry in Metric Spaces
2 Bulletin of the Australian Mathematical Society
2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
2 Bulletin de la Société Mathématique de France
2 Compositio Mathematica
2 Illinois Journal of Mathematics
2 Mathematische Zeitschrift
2 Zeitschrift für Analysis und ihre Anwendungen
2 Journal of the American Mathematical Society
2 International Journal of Algebra and Computation
2 Differential Geometry and its Applications
2 The Journal of Geometric Analysis
2 Electronic Research Announcements of the American Mathematical Society
2 Mathematical Physics, Analysis and Geometry
2 Positivity
2 Infinite Dimensional Analysis, Quantum Probability and Related Topics
2 Acta Mathematica Sinica. English Series
2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
2 Groups, Geometry, and Dynamics
2 Banach Journal of Mathematical Analysis
1 Houston Journal of Mathematics
1 Reports on Mathematical Physics
1 Russian Mathematical Surveys
1 Acta Mathematica
1 Archiv der Mathematik
1 Bulletin of the London Mathematical Society
1 Journal of Algebra
1 Journal of the London Mathematical Society. Second Series
1 Journal of Soviet Mathematics
1 Kyungpook Mathematical Journal
1 Mathematica Scandinavica
1 Mathematica Slovaca
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Quaestiones Mathematicae
1 Results in Mathematics
1 Semigroup Forum
1 Siberian Mathematical Journal
1 Acta Applicandae Mathematicae
1 Forum Mathematicum
1 Linear Algebra and its Applications
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Mémoires de la Société Mathématique de France. Nouvelle Série
1 Indagationes Mathematicae. New Series
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Russian Mathematics
...and 27 more Serials
all top 5

Cited in 40 Fields

506 Functional analysis (46-XX)
283 \(K\)-theory (19-XX)
171 Global analysis, analysis on manifolds (58-XX)
70 Group theory and generalizations (20-XX)
70 Topological groups, Lie groups (22-XX)
63 Algebraic topology (55-XX)
59 Manifolds and cell complexes (57-XX)
58 Operator theory (47-XX)
48 Differential geometry (53-XX)
39 Quantum theory (81-XX)
28 Abstract harmonic analysis (43-XX)
26 Category theory; homological algebra (18-XX)
19 Dynamical systems and ergodic theory (37-XX)
16 Associative rings and algebras (16-XX)
15 General topology (54-XX)
12 Number theory (11-XX)
10 Combinatorics (05-XX)
9 Several complex variables and analytic spaces (32-XX)
9 Harmonic analysis on Euclidean spaces (42-XX)
9 Statistical mechanics, structure of matter (82-XX)
8 Geometry (51-XX)
7 Algebraic geometry (14-XX)
5 Linear and multilinear algebra; matrix theory (15-XX)
4 Mathematical logic and foundations (03-XX)
4 Functions of a complex variable (30-XX)
4 Partial differential equations (35-XX)
3 Probability theory and stochastic processes (60-XX)
2 General and overarching topics; collections (00-XX)
2 History and biography (01-XX)
2 Nonassociative rings and algebras (17-XX)
2 Measure and integration (28-XX)
2 Convex and discrete geometry (52-XX)
2 Mechanics of particles and systems (70-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Commutative algebra (13-XX)
1 Potential theory (31-XX)
1 Sequences, series, summability (40-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Computer science (68-XX)
1 Relativity and gravitational theory (83-XX)

Citations by Year