Functoriality and K-theory for GL_n(R)

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
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:	https://eprints.maths.manchester.ac.uk/id/eprint/2398

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