Yongle Jiang

activity

20232026

collaborators

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10 papers · 1 filter

math.OA2026

Uniformly recurrent subalgebras in finite von Neumann algebras

Tattwamasi Amrutam, Pierre Fima, Yongle Jiang

We introduce the notion of a uniformly recurrent subalgebra (URA) for a trace-preserving action of a countable discrete group $Γ$ on a finite von Neumann algebra $M$ , providing an…

math.OA2026

Factors with prescribed number of invariant subalgebras not arising from subgroups

Yongle Jiang, Qinxuan Xu

For any given integer $n \geq 1$ , we construct i.c.c. groups $G$ such that the II $_{1}$ factors $L (G)$ have exactly $n$ -many $G$ -invariant von Neumann subalgebras not arising from sub…

math.OA2026

$C^{*}$ -simplicity, confined subalgebras, and operator algebraic uniform recurrence

Tattwamasi Amrutam, Yongle Jiang

We introduce the notion of confined subalgebras in the context of the group von Neumann algebra. We also define Uniformly Recurrent States -- an operator-algebraic analog of Unifor…

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…

Uniformly recurrent subalgebras in finite von Neumann algebras

Factors with prescribed number of invariant subalgebras not arising from subgroups

C∗-simplicity, confined subalgebras, and operator algebraic uniform recurrence

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

$C^{*}$ -simplicity, confined subalgebras, and operator algebraic uniform recurrence