Mendes, Sergio and Plymen, Roger (2009) Base change and K-theory for GL(n,R). [MIMS Preprint]
![[thumbnail of MendesPlymen.pdf]](https://eprints.maths.manchester.ac.uk/style/images/fileicons/application_pdf.png) |
PDF
MendesPlymen.pdf Download (200kB) |
Abstract
We investigate base change $C/R$ at the level of $K$-theory for the real 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 J. Noncommutative Geometry 1 (2007) 311-331.
| Item Type: | MIMS Preprint |
|---|---|
| Uncontrolled Keywords: | General linear group, K-theory, base change |
| 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: | 29 Oct 2009 |
| Last Modified: | 08 Nov 2017 18:18 |
| URI: | https://eprints.maths.manchester.ac.uk/id/eprint/1348 |
Actions (login required)
 |
View Item |