Gennadi Kasparov

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All published works

Action	Title	Year	Authors
+ PDF Chat	Coarse pseudo-differential calculus and index theory on manifolds with a tangent Lie structure	2024	Gennadi Kasparov
+	K-theory and index theory on manifolds with a proper Lie group action	2022	Gennadi Kasparov
+ PDF Chat	Elliptic and transversally elliptic index theory from the viewpoint of $KK$-theory	2017	Gennadi Kasparov
+	The Novikov conjecture and geometry of Banach spaces	2012	Gennadi Kasparov Guoliang Yu
+	The coarse geometric Novikov conjecture and uniform convexity	2005	Gennadi Kasparov Guoliang Yu
+	The coarse geometric Novikov conjecture and uniform convexity	2005	Gennadi Kasparov Guoliang Yu
+	Groups acting properly on "bolic" spaces and the Novikov conjecture	2004	Gennadi Kasparov Georges Skandalis
+ PDF Chat	Groups acting properly on “bolic” spaces and the Novikov conjecture	2003	Gennadi Kasparov Georges Skandalis
+	E-theory and KK-theory for groups which act properly and isometrically on Hilbert space	2001	Nigel Higson Gennadi Kasparov
+	A Bott Periodicity Theorem for Infinite Dimensional Euclidean Space	1998	Nigel Higson Gennadi Kasparov Jody Trout
+	Operator 𝐾-theory for groups which act properly and isometrically on Hilbert space	1997	Nigel Higson Gennadi Kasparov
+	K-theory, group C<sup>*</sup>-algebras, and higher signatures (Conspectus) (first distributed 1981)	1995	Gennadi Kasparov
+ PDF Chat	Operator k-theory for the group SU(n, 1).	1995	Pierre Julg Gennadi Kasparov
+	Novikov’s conjecture on higher signatures: the operator 𝐾-theory approach	1993	Gennadi Kasparov
+	Groups acting on buildings, operator K-theory, and Novikov's conjecture	1991	Gennadi Kasparov Georges Skandalis
+	Relative K-homology and K-homology of an ideal	1991	Gennadi Kasparov
+	EquivariantKK-theory and the Novikov conjecture	1988	Gennadi Kasparov
+ PDF Chat	Operator K-theory and its applications	1987	Gennadi Kasparov
+	On extensions connected with group<i>C</i>*-algebras	1985	N V Gorbachëv Gennadi Kasparov
+	THE OPERATOR<i>K</i>-FUNCTOR AND EXTENSIONS OF<i>C</i>*-ALGEBRAS	1981	Gennadi Kasparov
+	HILBERT C?-MODULES: THEOREMS OF STINESPRING AND VOICULESCU	1980	Gennadi Kasparov
+	The k-functor in the theory of extensions of C*-algebras	1980	Gennadi Kasparov
+	TOPOLOGICAL INVARIANTS OF ELLIPTIC OPERATORS. I:<i>K</i>-HOMOLOGY	1975	Gennadi Kasparov
+	The generalized index of elliptic operators	1974	Gennadi Kasparov
+	INVARIANTS OF CLASSICAL LENS MANIFOLDS IN COBORDISM THEORY	1969	Gennadi Kasparov

Common Coauthors

Coauthor	Papers Together
Nigel Higson	3
Guoliang Yu	3
Georges Skandalis	3
Jody Trout	1
Pierre Julg	1
N V Gorbachëv	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	EquivariantKK-theory and the Novikov conjecture	1988	Gennadi Kasparov	10
+	A Bott Periodicity Theorem for Infinite Dimensional Euclidean Space	1998	Nigel Higson Gennadi Kasparov Jody Trout	6
+ PDF Chat	The Longitudinal Index Theorem for Foliations	1984	Alain Connes Georges Skandalis	6
+	THE OPERATOR<i>K</i>-FUNCTOR AND EXTENSIONS OF<i>C</i>*-ALGEBRAS	1981	Gennadi Kasparov	6
+	HILBERT C?-MODULES: THEOREMS OF STINESPRING AND VOICULESCU	1980	Gennadi Kasparov	6
+	BOTT PERIODICITY AND THE INDEX OF ELLIPTIC OPERATORS	1968	Michael Atiyah	6
+	E-theory and KK-theory for groups which act properly and isometrically on Hilbert space	2001	Nigel Higson Gennadi Kasparov	5
+	Group cohomology with lipschitz control and higher signatures	1993	Alain Connes M. Gromov Henri Moscovici	5
+	K-theoretic amenability for SL2(Qp), and the action on the associated tree	1984	Pierre Julg Alain Valette	4
+	Spaces and Questions	2010	Misha Gromov	4
+	Notes on extensions of C*-algebras	1977	William Arveson	4
+	The structure of imprimitivity algebras	1980	Philip Green	4
+	Asymptotic invariants of infinite groups	1993	Mikhael Gromov Graham A. Niblo Martin A. Roller	4
+	On the coarse Baum-Connes conjecture	1995	Nigel Higson John Roe	4
+	The Index of Elliptic Operators: I	1968	Michael Atiyah I. M. Singer	4
+	C*-algebras, positive scalar curvature, and the Novikov conjecture	1983	Jonathan Rosenberg	4
+	Cyclic cohomology, the Novikov conjecture and hyperbolic groups	1990	Alain Connes Henri Moscovici	4
+ PDF Chat	Induced representations of C∗-algebras	1974	Marc A. Rieffel	4
+	K-théorie bivariante pour les algèbres de Banach et conjecture de Baum-Connes	2002	Vincent Lafforgue	4
+	C-Algebras and Their Automorphism Groups	1979	Gert Kjærgård Pedersen	4
+ PDF Chat	Groups acting properly on “bolic” spaces and the Novikov conjecture	2003	Gennadi Kasparov Georges Skandalis	4
+	The Completely Positive Lifting Problem for C ∗ -algebras	1976	Man-Duen Choi Edward G. Effros	4
+	INFINITE-DIMENSIONAL REPRESENTATIONS OF DISCRETE GROUPS, AND HIGHER SIGNATURES	1974	A S Miščenko	4
+ PDF Chat	Exact Sequences for the Kasparov Groups of Graded Algebras	1985	Georges Skandalis	4
+	Groupes Réductifs Sur Un Corps Local	1972	François Bruhat Jacques Tits	3
+	Proper affine isometric actions of amenable groups	1995	Mohammed E. B. Bekka Pierre-Alain Cherix Anna Valette	3
+	K-theory for discrete groups	1989	Paul Baum Alain Connes	3
+	On homotopy invariance of higher signatures	1976	Sylvain E. Cappell	3
+	An analogue of the thom isomorphism for crossed products of a C∗ algebra by an action of R	1981	Alain Connes	3
+ PDF Chat	Double centralizers and extensions of 𝐶*-algebras	1968	Robert C. Busby	3
+ PDF Chat	Metric cotype	2008	Manor Mendel Assaf Naor	3
+	Some remarks on Kasparov theory	1984	Georges Skandalis	3
+ PDF Chat	The coarse Baum–Connes conjecture for spaces which admit a uniform embedding into Hilbert space	2000	Guoliang Yu	3
+	K-Theory for Operator Algebras	1986	Bruce Blackadar	3
+	Operator 𝐾-theory for groups which act properly and isometrically on Hilbert space	1997	Nigel Higson Gennadi Kasparov	3
+	Differential Geometry and Symmetric Spaces	2001	Sigurđur Helgason	3
+	The Künneth theorem and the universal coefficient theorem for Kasparov’s generalized K-functor	1987	Jonathan Rosenberg Claude Schochet	3
+ PDF Chat	Positive scalar curvature and the Dirac operator on complete riemannian manifolds	1983	Mikhael Gromov H. Blaine Lawson	3
+ PDF Chat	Inner product modules over 𝐵*-algebras	1973	William L. Paschke	3
+	C*-algèbres de Hopf et théorie de Kasparov équivariante	1989	Saad Baaj Georges Skandalis	3
+	The Index of Elliptic Operators: III	1968	Michael Atiyah I. M. Singer	3
+	Classifying Space for Proper Actions and K-Theory of Group C*-algebras	2004	Paul Baum Alain Connes Nigel Higson	3
+ PDF Chat	Generalized homology theories	1962	George W. Whitehead	3
+	A coarse Mayer–Vietoris principle	1993	Nigel Higson John Roe Guoliang Yu	3
+	Equivariant E-Theory for C*-Algebras	2000	Erik Guentner Nigel Higson Jody Trout	3
+ PDF Chat	Coarse cohomology and index theory on complete Riemannian manifolds	1993	John Roe	2
+	Equivariant K Theory for Proper Actions	1989	N Christop Phillips	2
+	Discrete Subgroups of Lie Groups	1972	M. S. Raghunathan	2
+ PDF Chat	Hyperbolic groups admit proper affine isometric actions on lp-spaces	2005	Guoliang Yu	2
+	Groupes réductifs sur un corps local	1984	François Bruhat Jacques Tits	2