K-theory and the connection index

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

PDF KamranRP11.pdf Download (273kB)

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:	https://eprints.maths.manchester.ac.uk/id/eprint/1617

Available Versions of this Item

• K-theory and the connection index. (deposited 23 Oct 2009)
  • K-theory and the connection index. (deposited 10 May 2011) [Currently Displayed]

Actions (login required)

View Item