E-Book, Englisch, 131 Seiten, eBook
Mislin / Valette Proper Group Actions and the Baum-Connes Conjecture
2003
ISBN: 978-3-0348-8089-3
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, 131 Seiten, eBook
Reihe: Advanced Courses in Mathematics - CRM Barcelona
ISBN: 978-3-0348-8089-3
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
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.
Zielgruppe
Research
Autoren/Hrsg.
Weitere Infos & Material
Equivariant K-Homology of the Classifying Space for Proper Actions.- On the Baum—Connes Assembly Map for Discrete Groups.
