## 2009.82: Base change and K-theory for GL(n,R)

2009.82:
Sergio Mendes and Roger Plymen
(2009)
*Base change and K-theory for GL(n,R).*

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## 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 |
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Uncontrolled Keywords: | General linear group, K-theory, base change |

Subjects: | MSC 2000 > 19 K-theory MSC 2000 > 22 Topological groups, Lie groups |

MIMS number: | 2009.82 |

Deposited By: | Professor Roger Plymen |

Deposited On: | 29 October 2009 |

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