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

Sergio Mendes; Roger Plymen

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

K-Theory and Homology 2009-05-27 v2 Representation Theory

Authors: Sergio Mendes , Roger Plymen

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.

Keywords

algebraic k-theory

Cite

@article{arxiv.math/0607522,
  title  = {Base change and K-theory for GL(n,R)},
  author = {Sergio Mendes and Roger Plymen},
  journal= {arXiv preprint arXiv:math/0607522},
  year   = {2009}
}

Comments

17 pages, introduction and section 5 completely rewritten

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

Abstract

Keywords

Cite

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