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

Sergio Mendes; Roger Plymen

paper

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

arXiv:math/0607522

Abstract

We investigate base change $C / R$ at the level of $K$ -theory for the general linear group $G L (n, R)$ . 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 $G L (n, R)$ and $G L (n, C)$ . This article is the archimedean companion of our previous article in the Journal of Noncommutative Geometry.

17 pages, introduction and section 5 completely rewritten