Proper Group Actions and the Baum-Connes Conjecture

Guido Mislin, Alain Valette (Autoren)

Buch | Softcover

131 Seiten

2003 | 2003
Springer Basel (Verlag)
978-3-7643-0408-9 (ISBN)

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lt;p>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.

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

Erscheint lt. Verlag	23.7.2003
Reihe/Serie	Advanced Courses in Mathematics - CRM Barcelona
Zusatzinfo	131 p. 2 illus.
Verlagsort	Basel
Sprache	englisch
Gewicht	405 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
Schlagworte	algebraic topology • Algebraische Topologie • Grad • group theory • Homology • K-theory • Topologische Gruppe
ISBN-10	3-7643-0408-1 / 3764304081
ISBN-13	978-3-7643-0408-9 / 9783764304089
Zustand	Neuware