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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.
| Autorius: | Alain Valette, Guido Mislin, |
| Serija: | Advanced Courses in Mathematics - CRM Barcelona |
| Leidėjas: | Birkhäuser Basel |
| Išleidimo metai: | 2003 |
| Knygos puslapių skaičius: | 144 |
| ISBN-10: | 3764304081 |
| ISBN-13: | 9783764304089 |
| Formatas: | 244 x 170 x 9 mm. Knyga minkštu viršeliu |
| Kalba: | Anglų |
Parašykite atsiliepimą apie „Proper Group Actions and the Baum-Connes Conjecture“
