Abstract
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.