Proper group actions and the Baum-Connes conjecture
Guido Mislin, Alain Valette · 2003
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About the book
This book contains a concise introduction to the techniques used to prove the Baum-Connes conjecture. The Baum-Connes conjecture predicts that the K-homology of the reduced C *-algebra of a group can be computed as the equivariant K-homology of the classifying space for proper actions. The approach is expository, but it contains proofs of many basic results on topological K-homology and the K-theory of C *-algebras. It features a detailed introduction to Bredon homology for infinite groups, with applications to K-homology. It also contains a detailed discussion of naturality questions concerning the assembly map, a topic not well documented in the literature. The book is aimed at advanced graduate students and researchers in the area, leading to current research problems.
Book details
- Year
- 2003
- Language
- English
- Publisher
- Birkhäuser Basel
- Editions
- 3
- Pages
- 131
- ISBN
- 9783764304089
Data source: Wikidata