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Cyclic Homology of Totally Disconnected Groups Acting on Buildings

โœ 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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โœฆ 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.


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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