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

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

2006-07-21

arxiv.org/abs/math/0607522v2

Mathematics

K-Theory and Homology

17 pages, introduction and section 5 completely rewritten

Scientific paper

We investigate base change $C/R$ at the level of $K$-theory for the 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 the Journal of Noncommutative Geometry.

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