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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


Equivariant Homology for Totally Disconn
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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.

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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.

An Equivariant Brauer Group and Actions
✍ David Crocker; Alexander Kumjian; Iain Raeburn; Dana P. Williams 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 524 KB

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