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arXiv · 2511.16400

An extreme boundary of acylindrically hyperbolic groups

Wenyuan Yang
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Abstract

We prove that every acylindrically hyperbolic group admits a minimal and extremely proximal action on a compact metrizable space. If there are no nontrivial finite normal subgroups, then the action is topologically free. This answers positively a question of Ozawa and the applications to $C^\ast$-algebras are discussed.

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Wenyuan Yang. 2025-11-20. An extreme boundary of acylindrically hyperbolic groups. https://arxiv.org/abs/2511.16400

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