Zhen Fu

collaborators

4 papers

math.OA2026

An Approximate-Diagonal Characterization of Amenable Actions on C*Algebras

Zhengyu Fu

We introduce relative $h$ -diagonals for crossed products $A ⋊_{α} Γ$ by discrete groups, which are positive-form approximate diagonals in the Haagerup tensor product taken relati…

math.PR2026

Central limit theorem in Rényi divergence for lattice random variables

Zhen Fu, Jiange Li

Let ${X_{i}}_{i = 1}^{n}$ be independent, identically distributed lattice random variables with zero mean, unit variance, and maximal span $h > 0$ . Let $S_{n} = (X_{1} + \dots + X_{n}) / n$ . Le…

math.PR2025

A reverse entropy power inequality for i.i.d. log-concave random variables

Zhen Fu, Jiange Li

We show that $h_{\infty} (X + Y) \leq h_{\infty} (Z + W)$ , where $X, Y$ are independent log-concave random variables, and $Z, W$ are exponential random variables having the same respective $\…

math.OA2025

Ultraproducts of crossed product C*algebras

Zhengyu Fu

We study the relationship between the ultraproduct of a crossed product C*algebra $(A ⋊_{r} G)^{ω}$ and the crossed product of an ultraproduct C*algebra $A^{ω} ⋊_{r} G$ for a…