On the Baum--Connes conjecture with coefficients for linear algebraic groups
K-Theory and Homology
2019-04-08 v4
Abstract
We prove the Baum--Connes conjecture with arbitrary coefficients for some classes of groups: (1) Linear algebraic groups over a non-archimedean local field. (2) Linear algebraic groups over the adeles of a global field k, provided that at every archimedean place of k the associated Lie group is amenable. (3) All closed subgroups of the above groups. This includes linear algebraic groups over global fields - with the same condition as in (2). Update: proof of main results incomplete, maybe not repairable.
Cite
@article{arxiv.1901.08807,
title = {On the Baum--Connes conjecture with coefficients for linear algebraic groups},
author = {Maarten Solleveld},
journal= {arXiv preprint arXiv:1901.08807},
year = {2019}
}
Comments
Proof incomplete, problems turned up in Lemma 2.2.a