Stability of the weak Haagerup property under graph products

Fuente: arXiv
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Autores principales: Das, Shubhabrata, Ghosh, Partha Sarathi
Formato: Preprint
Publicado: 2026
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author Das, Shubhabrata
Ghosh, Partha Sarathi
author_facet Das, Shubhabrata
Ghosh, Partha Sarathi
contents In this paper we prove that: Any graph product of finitely many groups, all of them satisfying weak Haagerup property with $Λ_{WH}=1$, also satisfies weak Haagerup property and as a corollary of this result we obtain that the free product of weakly Haagerup groups with $Λ_{WH}=1$, again has weak Haagerup property with $Λ_{WH}=1$.
format Preprint
id arxiv_https___arxiv_org_abs_2602_03577
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Stability of the weak Haagerup property under graph products
Das, Shubhabrata
Ghosh, Partha Sarathi
Group Theory
In this paper we prove that: Any graph product of finitely many groups, all of them satisfying weak Haagerup property with $Λ_{WH}=1$, also satisfies weak Haagerup property and as a corollary of this result we obtain that the free product of weakly Haagerup groups with $Λ_{WH}=1$, again has weak Haagerup property with $Λ_{WH}=1$.
title Stability of the weak Haagerup property under graph products
topic Group Theory
url https://arxiv.org/abs/2602.03577