K-theory and the connection index

Kamran, Tayyab and Plymen, Roger (2009) K-theory and the connection index. [MIMS Preprint]

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Abstract

Let G denote a split simply connected almost simple p-adic group. The classical example is the special linear group SL(n). We study the spherical C*-algebra of G and prove that the rank of the K-theory group K_0 is the connection index f(G). We relate this result to the recent conjecture in http://eprints.ma.man.ac.uk/1553 and to a recent result of Solleveld in http://arxiv.org/abs/1008.0177.

Item Type: MIMS Preprint
Uncontrolled Keywords: Local field, p-adic group, connection index, K-theory
Subjects: MSC 2010, the AMS's Mathematics Subject Classification > 19 K-theory
MSC 2010, the AMS's Mathematics Subject Classification > 22 Topological groups, Lie groups
Depositing User: Professor Roger Plymen
Date Deposited: 10 May 2011
Last Modified: 08 Nov 2017 18:18
URI: http://eprints.maths.manchester.ac.uk/id/eprint/1617

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