Mendes, Sergio and Plymen, Roger
(2015)
*Functoriality and K-theory for GL_n(R).*
[MIMS Preprint]

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## Abstract

We investigate base change and automorphic induction 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.

Item Type: | MIMS Preprint |
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Uncontrolled Keywords: | General linear group, K-theory, representation theory, Langlands parameters |

Subjects: | MSC 2010, the AMS's Mathematics Subject Classification > 19 K-theory MSC 2010, the AMS's Mathematics Subject Classification > 22 Topological groups, Lie groups |

Depositing User: | Professor Roger Plymen |

Date Deposited: | 15 Oct 2015 |

Last Modified: | 08 Nov 2017 18:18 |

URI: | http://eprints.maths.manchester.ac.uk/id/eprint/2398 |

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