Guido Mislin, Alain Valette

Proper Group Actions and the Baum-Connes Conjecture (eBook, PDF)

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Birkhäuser Basel
• Seitenzahl: 131
• Erscheinungstermin: 6. Dezember 2012
• Englisch
• ISBN-13: 9783034880893
• Artikelnr.: 53088250

Inhaltsangabe

Equivariant K-Homology of the Classifying Space for Proper Actions.- On the Baum-Connes Assembly Map for Discrete Groups.