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

Mendes, Sergio and Plymen, Roger (2009) Base change and K-theory for GL(n,R). [MIMS Preprint]

[img] PDF
MendesPlymen.pdf

Download (200kB)

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 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: 29 Oct 2009
Last Modified: 08 Nov 2017 18:18
URI: http://eprints.maths.manchester.ac.uk/id/eprint/1348

Actions (login required)

View Item View Item