Proper Group Actions and the Baum-Connes Conjecture (Advanced Courses in Mathematics - Crm Barcelona)

Guido Mislin

ISBN 10: 3764304081 / ISBN 13: 9783764304089

Verlag: Birkh�user 2003-09-17, 2003

Beschreibung

Bestandsnummer des Verkäufers 6666-IUK-9783764304089

Bibliografische Details

• Titel: Proper Group Actions and the Baum-Connes Conjecture (Advanced Courses in Mathematics - Crm Barcelona)
• Verlag: Birkh�user 2003-09-17
• Erscheinungsjahr: 2003
• Sprache: Englisch
• ISBN-10: 3764304081
• ISBN-13: 9783764304089
• Einband: Paperback
• Zustand: New

Über diesen Titel

Inhaltsangabe

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.