Cyclic Homology of Totally Disconnected Groups Acting on Buildings
โ Scribed by Nigel Higson; Victor Nistor
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 951 KB
- Volume
- 141
- Category
- Article
- ISSN
- 0022-1236
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โฆ Synopsis
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.
๐ SIMILAR VOLUMES
A new characterisation of the scale function on the locally compact group G is ลฝ . given. It is shown that for x in G the scale of x, s x , is the minimum value w y1 y1 x attained by the index xUx : xUx l U as U ranges over all compact open subgroups of G. The properties of the scale function when