Bi-exact Wreath-like Product Groups

Ionuţ Chifan; Zhiyuan Yang

doi:10.48550/arxiv.2609.24923

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Bi-exact Wreath-like Product Groups

Ionuţ Chifan and Zhiyuan Yang

arXiv

09/21/2026

DOI: 10.48550/arxiv.2609.24923

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Preprint (Author's original) This preprint has not been evaluated by subject experts through peer review. Preprints may undergo extensive changes and/or become peer-reviewed journal articles. Open Access

Abstract

In this short paper, we prove the bi-exactness of all wreath-like product groupsG∈𝓦𝓡(A,B↷ I) , wheneverAis amenable,Bis bi-exact, and the actionB↷ Ihas amenable stabilizers. As applications, we obtain solidity for the associated group von Neumann algebras and, by combining our result with existing rigidity theorems, new examples exhibiting the McDuff superrigidity.

Mathematics - Group Theory

Mathematics - Operator Algebras

Details

Title: Subtitle: Bi-exact Wreath-like Product Groups
Creators: Ionuţ Chifan
Zhiyuan Yang
Resource Type: Preprint
Publication Details: arXiv
DOI: 10.48550/arxiv.2609.24923
ISSN: 2331-8422
Publisher: arXiv
Language: English
Date posted: 09/21/2026
Academic Unit: Mathematics
Record Identifier: 9985236348902771

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