Shuoxing Zhou

collaborators

3 papers

math.OA2026

Non-commutative Factor theorem for tensor products of lattices in product groups

Tattwamasi Amrutam, Yongle Jiang, Shuoxing Zhou

We establish a non-commutative version of the Intermediate Factor Theorem for crossed products associated with product lattices. Given an irreducible lattice $Γ< G= G_1 \times \dot…

math.OA2025

Non-commutative Intermediate Factor theorem associated with $W^{*}$ -dynamics of product groups

Tattwamasi Amrutam, Yongle Jiang, Shuoxing Zhou

Let $G = G_{1} \times G_{2}$ be a product of two locally compact, second countable groups and $μ \in Prob (G)$ be of the form $μ = μ_{1} \times μ_{2}$ , where $μ_{i} \in \math…

math.OA2025

Rigidity of Furstenberg entropy under ucp maps

Shuoxing Zhou

Given a tracial von Neumann algebra $(M, τ)$ , we prove that a state preserving $M$ -bimodular ucp map between two stationary W $^{*}$ -extensions of $(M, τ)$ preserves the Furstenberg ent…

Non-commutative Factor theorem for tensor products of lattices in product groups

Non-commutative Intermediate Factor theorem associated with W∗-dynamics of product groups

Rigidity of Furstenberg entropy under ucp maps

Non-commutative Intermediate Factor theorem associated with $W^{*}$ -dynamics of product groups