Equivariant KK-theory and the Novikov conjecture

Inventiones Mathematicae

Volumn 91, Issue 1, 1988, Pages 147-201

  Kasparov, G G ^a  

^a INSTITUTE OF PROBLEMS OF CHEMICAL PHYSICS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 34250090959     PISSN: 00209910     EISSN: 14321297     Source Type: Journal    
DOI: 10.1007/BF01404917     Document Type: Article

References (54)

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2. The index of elliptic operators. I
3. The index of elliptic operators. III
4. Théorie bivariante de Kasparov et opérateurs non bornés dans les C*-modules hilbertiens
5. On homotopy invariance of higher signatures
6. Cross products of strongly Morita equivalent C*-algebras
7. The longitudinal index theorem for foliations
8. On Novikov's conjecture for non-positively curved manifolds. I
9. The structure of locally bicompact groups and the fifth Hilbert problem
10. C*-algebras of transformation groups with smooth orbit space
11. The structure of imprimitivity algebras
12. Miscenko's work on Novikov's conjecture
13. K-théorie équivariante et produits croisés
14. K-theoretic amenability for SL2(Qp), and the action on the associated tree
15. Generalized index of elliptic operators
16. Topological invariants of elliptic operators. I. K-homology
17. Hilbert C*-modules: theorems of Stinespring and Voiculescu
18. The operator K-functor and extensions of C*-algebras
19. Lorentz groups: K-theory of unitary representations and crossed products
20. Operator K-theory and its applications: elliptic operators, group representations, higher signatures, C*-extensions
21. Operator K-theory and its applications
22. Homotopy invariance of the analytic index of signature operators over C*-algebras
23. Infinite dimensional representations of discrete groups and higher signatures
24. Equivariant triviality theorems for Hilbert C*-modules
25. Representations of Banach algebras and Hirzebruch type formulae
26. KK-groups of crossed products by groups acting on trees
27. Exact sequences for K-groups and Ext-groups of certain cross-product C*-algebras
28. K-groups of reduced crossed products by free groups
29. Special manifolds and Novikov's conjecture
30. Induced representations of C*-algebras
31. Applications of strong Morita equivalence to transformation group C*-algebras
32. C*-algebras, positive scalar curvature, and the Novikov conjecture
33. The Künneth theorem and the universal coefficient theorem for Kasparov's generalized K-functor
34. Topological methods for C*-algebras. I. Spectral sequences
35. Fredholm complexes
36. Some remarks on Kasparov theory
37. Exact sequences for the Kasparov groups of graded algebras
38. Essential self-adjointness for the Dirac operator and its square