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.
Reihe
Auflage
Sprache
Verlagsort
Verlagsgruppe
Illustrationen
2
2 s/w Abbildungen
131 p. 2 illus.
ISBN-13
978-3-0348-8089-3 (9783034880893)
DOI
10.1007/978-3-0348-8089-3
Schweitzer Klassifikation
Equivariant K-Homology of the Classifying Space for Proper Actions.- On the Baum-Connes Assembly Map for Discrete Groups.
