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Preprint . 2022
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Journal of Functional Analysis
Article . 2023 . Peer-reviewed
License: Elsevier TDM
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https://dx.doi.org/10.48550/ar...
Article . 2022
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Bi-exactness of relatively hyperbolic groups

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 May 2023Embargo end date: 01 Jan 2022 English Publisher:Elsevier BVJournal:Journal of Functional Analysis, volume 284, page 109,859 (issn: 0022-1236, Copyright policy )
Authors: Koichi Oyakawa;

doi: 10.1016/j.jfa.2023.109859 , 10.48550/arxiv.2207.08113

arXiv: http://arxiv.org/abs/2207.08113

Bi-exactness of relatively hyperbolic groups

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.

Minor corrections. Appeared in Journal of Functional Analysis

Related Organizations
Keywords

Mathematics - Operator Algebras, FOS: Mathematics, Group Theory (math.GR), Operator Algebras (math.OA), Mathematics - Group Theory

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
Green