Functoriality and K-theory for GL_n(R)

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

[img] PDF
Mendes_Plymen_GL_n(R)_Functoriality_2015_vs4.pdf

Download (318kB)

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

Actions (login required)

View Item View Item