Functoriality and K-theory for $GL_n(\mathbb{R})$

Sergio Mendes; Roger Plymen

Functoriality and K-theory for $GL_n(\mathbb{R})$

K-Theory and Homology 2015-10-14 v1 Representation Theory

Authors: Sergio Mendes , Roger Plymen

Abstract

We investigate base change and automorphic induction $\mathbb{C}/\mathbb{R}$ at the level of K-theory for the general linear group $GL_n(\mathbb{R})$ . 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 $GL_n(\mathbb{R})$ and $GL_n(\mathbb{C})$ . This article is the archimedean companion of our previous article in the Journal of Noncommutative Geometry.

Keywords

algebraic k-theory

Cite

@article{arxiv.1510.03662,
  title  = {Functoriality and K-theory for $GL_n(\mathbb{R})$},
  author = {Sergio Mendes and Roger Plymen},
  journal= {arXiv preprint arXiv:1510.03662},
  year   = {2015}
}

Comments

26 Pages. arXiv admin note: substantial text overlap with arXiv:math/0607522

Functoriality and K-theory for $GL_n(\mathbb{R})$

Abstract

Keywords

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