The coarse Baum-Connes conjecture for relatively hyperbolic groups

Details The coarse Baum-Connes conjecture for relatively hyperbolic groups The coarse Baum-Connes conjecture for relatively hyperbolic groups

2011-09-29

arxiv.org/abs/1109.6377v1

Mathematics

K-Theory and Homology

17 pages

Scientific paper

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.

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