Functoriality and K-theory for GL_n(ℝ)

2015/10/13 by Sérgio Mendes, Mendes, Sergio, Roger Plymen +1
Mathematics · #22E50 #46L80 #Advanced Algebra and Geometry #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #K-Theory and Homology (math.KT) #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1510.03662

openalex publication_date 2015/10/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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