Base change and K-theory for GL(n,R) [article]

Sergio Mendes, Roger Plymen
2009 arXiv   pre-print
We investigate base change 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.
arXiv:math/0607522v2 fatcat:g7zuu6ao6fcgnds7r2xmbrkaz4