2006/07/21 by Sergio Mendes, Mendes, Sergio, Roger Plymen +1
Mathematics · #22D10 #46L80 #FOS: Mathematics #K-Theory and Homology (math.KT) #Representation Theory (math.RT) #math.KT #math.RT #msc:22D10 #msc:46L80
paper · pdf · doi:10.48550/arxiv.math/0607522
17 pages, introduction and section 5 completely rewritten
arxiv created 2009/05/27 · arxiv updated 2009/12/01
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.