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Beschreibung
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.
Details
| Verlag | Springer Basel |
| Ersterscheinung | 23. Juli 2003 |
| Maße | |
| Gewicht | 262 Gramm |
| Format | Softcover |
| ISBN-13 | 9783764304089 |
| Seiten | 131 |
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