Proper Group Actions and the Baum-Connes Conjecture
Guido Mislin, Alain Valette
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.
Kategori:
Tahun:
2012
Penerbit:
Birkhäuser
Bahasa:
english
Halaman:
131
ISBN 10:
3034880898
ISBN 13:
9783034880893
Nama seri:
Advanced Courses in Mathematics CRM Barcelona
File:
PDF, 14.30 MB
IPFS:
,
english, 2012
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