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Equivariant $E$-theory for $C^{*}$-algebras
About this Title
Erik Guentner, Nigel Higson and Jody Trout
Publication: Memoirs of the American Mathematical Society
Publication Year:
2000; Volume 148, Number 703
ISBNs: 978-0-8218-2116-9 (print); 978-1-4704-0294-5 (online)
DOI: https://doi.org/10.1090/memo/0703
MathSciNet review: 1711324
MSC: Primary 46L80; Secondary 19K35, 22D25, 46L85
Table of Contents
Chapters
- 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 GreenāJulg theorem
- 12. Induction and compression
- 13. A generalized GreenāJulg theorem
- 14. Application to the BaumāConnes conjecture
- 15. Concluding remark on assembly for proper algebras