Stability of the weak Haagerup property under graph products

In this paper, we prove that: Any graph product of finitely many groups, all of them satisfying weak Haagerup property with [Formula: see text], also satisfies weak Haagerup property and as a corollary of this result we obtain that the free product of weakly Haagerup groups with [Formula: see text], again has weak Haagerup property with [Formula: see text].

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Publication Details

Journal
Journal of Topology and Analysis
Published
2025-05-30
DOI
https://doi.org/10.1142/s1793525325500190
Primary Topic
Advanced Operator Algebra Research
Type
article
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article

Stability of the weak Haagerup property under graph products

Partha Sarathi Ghosh, Shubhabrata Das
Journal of Topology and Analysis
Advanced Operator Algebra Research
article

Stability of the weak Haagerup property under graph products

Partha Sarathi Ghosh, Shubhabrata Das
article en

Abstract

In this paper, we prove that: Any graph product of finitely many groups, all of them satisfying weak Haagerup property with [Formula: see text], also satisfies weak Haagerup property and as a corollary of this result we obtain that the free product of weakly Haagerup groups with [Formula: see text], again has weak Haagerup property with [Formula: see text].

Journal of Topology and Analysis
Presidency University (IN)
Openalex Percentile: Top 82%
Advanced Operator Algebra Research
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Stability of the weak Haagerup property under graph products — Partha Sarathi Ghosh, Shubhabrata Das · Journal of Topology and Analysis (2025) | TGRS Research Map | TGRS