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2009.82: Base change and K-theory for GL(n,R)

2009.82: Sergio Mendes and Roger Plymen (2009) Base change and K-theory for GL(n,R).

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Abstract

We investigate base change $C/R$ at the level of $K$-theory for the real general linear group $GL(n,R)$. In the course of this study, we compute in detail the $C*$-algebra $K$-theory of this disconnected group. We investigate the interaction of base change with the Baum-Connes correspondence for $GL(n,R)$ and $GL(n,C)$. This article is the archimedean companion of our previous article in J. Noncommutative Geometry 1 (2007) 311-331.

Item Type:MIMS Preprint
Uncontrolled Keywords:General linear group, K-theory, base change
Subjects:MSC 2000 > 19 K-theory
MSC 2000 > 22 Topological groups, Lie groups
MIMS number:2009.82
Deposited By:Professor Roger Plymen
Deposited On:29 October 2009

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