Stability of the weak Haagerup property under graph products
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866912873260777472 |
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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 |