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math.OA2026
Bi-exact Wreath-like Product Groups
Ionuţ Chifan, Zhiyuan Yang
In this short paper, we prove the bi-exactness of all wreath-like product groups , whenever is amenable, is bi-exact, and the actio…
math.OA2026
Relative Biexactness for Relative Hyperbolic Groups and Some Applications
Ionuţ Chifan, Kai Toyosawa, Zhiyuan Yang
In this paper, we confirm a conjecture of Ozawa and others asserting that every finitely generated, relatively hyperbolic, exact group is bi-exact (in the sense of Ozawa) relative…
math.OA2025
On Relative Biexactness of Amalgamated Free Product von Neumann Algebras
Kai Toyosawa, Zhiyuan Yang
Given weakly exact tracial von Neumann algebras with a common injective von Neumann subalgebra , we prove that the amalgamated free product $M_{1}\overline{*}_{B}…