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arXiv · 2512.21169

Strong bolicity and the Baum-Connes conjecture for relatively hyperbolic groups

Hermès Lajoinie-Dodel
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Abstract

We construct a strongly bolic metric for a certain class of relatively hyperbolic groups, which includes those with CAT(0) parabolics and virtually abelian parabolics. If we further assume that the parabolics satisfy (RD), applying a theorem of Lafforgue, we deduce the Baum-Connes conjecture for these groups. One of the key ingredients in our construction is the use of random coset representatives called masks, developed by Chatterji and Dahmani.

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Hermès Lajoinie-Dodel. 2025-12-24. Strong bolicity and the Baum-Connes conjecture for relatively hyperbolic groups. https://arxiv.org/abs/2512.21169

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