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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.
Produkteigenschaften
- Artikelnummer: 9783764304089
- Medium: Buch
- ISBN: 978-3-7643-0408-9
- Verlag: Springer
- Erscheinungstermin: 23.07.2003
- Sprache(n): Englisch
- Auflage: 2003
- Serie: Advanced Courses in Mathematics - CRM Barcelona
- Produktform: Kartoniert
- Gewicht: 262 g
- Seiten: 131
- Format (B x H x T): 170 x 244 x 9 mm
- Ausgabetyp: Kein, Unbekannt