The coarse Baum-Connes conjecture for relatively hyperbolic groups
K-Theory and Homology
2014-10-09 v1 Group Theory
Abstract
We study a group which is hyperbolic relative to a finite family of infinite subgroups. We show that the group satisfies the coarse Baum-Connes conjecture if each subgroup belonging to the family satisfies the coarse Baum-Connes conjecture and admits a finite universal space for proper actions. Especially, the group satisfies the analytic Novikov conjecture.
Cite
@article{arxiv.1109.6377,
title = {The coarse Baum-Connes conjecture for relatively hyperbolic groups},
author = {Tomohiro Fukaya and Shin-ichi Oguni},
journal= {arXiv preprint arXiv:1109.6377},
year = {2014}
}
Comments
17 pages