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arXiv · 1109.6377

The coarse Baum-Connes conjecture for relatively hyperbolic groups

Tomohiro Fukaya·Shin-ichi Oguni
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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.

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Tomohiro Fukaya, Shin-ichi Oguni. 2011-09-29. The coarse Baum-Connes conjecture for relatively hyperbolic groups. https://doi.org/10.1142/s1793525312500021

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