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2009.80: K-theory and the connection index

2009.80: Tayyab Kamran and Roger Plymen (2009) K-theory and the connection index.

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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 2000 > 19 K-theory
MSC 2000 > 22 Topological groups, Lie groups
MIMS number:2009.80
Deposited By:Professor Roger Plymen
Deposited On:10 May 2011

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