Yongle Jiang

collaborators

4 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.OA2026

Classification of Invariant Subalgebras in a class of factors with property (T)

Yongle Jiang, Hongyi Li

Let $n \geq 2$ and $G_{n} = Z^{n} ⋊ S L_{n} (Z)$ . We classify all $G_{n}$ -invariant von Neumann subalgebras in $L (G_{n})$ . For $n = 2$ , this gives an alternative proof of the…

math.OA2026

On invariant subalgebras when the ISR property fails

Yongle Jiang, Ruoyu Liu

We classify all $G$ -invariant von Neumann subalgebras in $L (G)$ for $G = Z^{2} ⋊ S L_{2} (Z)$ . This is the first result on classifying $G$ -invariant von Neumann suba…

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…

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

Classification of Invariant Subalgebras in a class of factors with property (T)

On invariant subalgebras when the ISR property fails

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

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