Actions of totally disconnected groups and equivariant singular homology
✍ Scribed by Sören Illman
- Book ID
- 108286679
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 293 KB
- Volume
- 157
- Category
- Article
- ISSN
- 0166-8641
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📜 SIMILAR VOLUMES
One of the far-reaching problems about continuous group actions is the w x Baum᎐Connes conjecture BCH . Although it is an assertion about certain K-theoretic invariants in the equivariant setting the understanding of the Ž . corresponding equivariant co homological invariants should be most useful.
We prove a homological counterpart of a conjecture of P. Baum and A. Connes, concerning K-theory for convolution C\*-algebras of p-adic groups, by calculating the periodic cyclic homology for the convolution algebra of a totally disconnected group acting properly on a building.
Suppose that (G, T ) is a second countable locally compact transformation group given by a homomorphism l: G Ä Homeo(T ), and that A is a separable continuous-trace C\*-algebra with spectrum T. An action :: G Ä Aut(A) is said to cover l if the induced action of G on T coincides with the original one