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

Sergio Mendes·Roger Plymen
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Abstract

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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Sergio Mendes, Roger Plymen. 2009-05-27. Base change and K-theory for GL(n,R). https://arxiv.org/abs/math/0607522

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