Stability of the weak Haagerup property under graph products
Group Theory
2026-02-04 v1
Abstract
In this paper we prove that: Any graph product of finitely many groups, all of them satisfying weak Haagerup property with , also satisfies weak Haagerup property and as a corollary of this result we obtain that the free product of weakly Haagerup groups with , again has weak Haagerup property with .
Cite
@article{arxiv.2602.03577,
title = {Stability of the weak Haagerup property under graph products},
author = {Shubhabrata Das and Partha Sarathi Ghosh},
journal= {arXiv preprint arXiv:2602.03577},
year = {2026}
}