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Equivariant E-theory for C*-algebras /
Let A and B be C*-algebras which are equipped with continuous actions of a second countable, locally compact group G. We define a notion of equivariant asymptotic morphism, and use it to define equivariant E-theory groups E G(A, B) which generalize the E-theory groups of Connes and Higson. We develo...
| Call Number: | Libro Electrónico |
|---|---|
| Main Author: | |
| Other Authors: | , |
| Format: | Electronic eBook |
| Language: | Inglés |
| Published: |
Providence, R.I. :
American Mathematical Society,
©2000.
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| Series: | Memoirs of the American Mathematical Society ;
no. 703. |
| Subjects: | |
| Online Access: | Texto completo |
Table of Contents:
- Introduction 1. Asymptotic morphisms 2. The homotopy category of asymptotic morphisms 3. Functors on the homotopy category 4. Tensor products and descent 5. $C$*-algebra extensions 6. E-theory 7. Cohomological properties 8. Proper algebras 9. Stabilization 10. Assembly 11. The Green-Julg theorem 12. Induction and compression 13. A generalized Green-Julg theorem 14. Application to the Baum-Connes conjecture 15. Concluding remark on assembly for proper algebras.