Bi-exactness of relatively hyperbolic groups
Group Theory
2024-09-17 v2 Operator Algebras
Abstract
We prove that finitely generated relatively hyperbolic groups are bi-exact if and only if all peripheral subgroups are bi-exact. This is a generalization of Ozawa's result which claims that finitely generated relatively hyperbolic groups are bi-exact if all peripheral subgroups are amenable.
Cite
@article{arxiv.2207.08113,
title = {Bi-exactness of relatively hyperbolic groups},
author = {Koichi Oyakawa},
journal= {arXiv preprint arXiv:2207.08113},
year = {2024}
}
Comments
Minor corrections. Appeared in Journal of Functional Analysis