2009.82: Base change and K-theory for GL(n,R)
2009.82: Sergio Mendes and Roger Plymen (2009) Base change and K-theory for GL(n,R).
Full text available as:
|PDF - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader|
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 2000 > 19 K-theory|
MSC 2000 > 22 Topological groups, Lie groups
|Deposited By:||Professor Roger Plymen|
|Deposited On:||29 October 2009|