Zhiyuan Yang

collaborators

4 papers

math.OA2026

Non-isomorphism of $q$ -Gaussian von Neumann Algebras in Infinite Variables

Changying Ding, Zhiyuan Yang

We show that the $q$-Gaussian von Neumann algebras associated with an infinite-dimensional real Hilbert space are pairwise nonisomorphic as $q$ ranges over $(-1,1)$.

math.NT2026

Convolution-type Bombieri-Vinogradov theorem with well-factorable weights, and its applications

Zhiyuan Yang

In this paper, we consider the asymptotic density of $# {p \leq x : P^{+} (p - 1) \geq p^{c}}$ and $# {n \leq x : P^{+} (n) < P^{+} (n + 1)}$ , where $P^{+} (n)$ denote the largest prime factor of $n$ . We…

math.OA2026

Relative biexactness and mixing in von Neumann algebras

Srivatsav Kunnawalkam Elayavalli, Zhiyuan Yang

We develop a new technique to upgrade relative biexactness in general von Neumann algebras: suppose that ${N_{i}}_{i \in I} \subset M$ are mixing and biexact subalgebras of a separab…

math.OA2025

On von Neumann algebras generated by free Poisson random weights

Zhiyuan Yang

We study a generalization of free Poisson random measure by replacing the intensity measure with a n.s.f. weight $φ$ on a von Neumann algebra $M$ . We give an explicit construction…

Non-isomorphism of q-Gaussian von Neumann Algebras in Infinite Variables

Convolution-type Bombieri-Vinogradov theorem with well-factorable weights, and its applications

Relative biexactness and mixing in von Neumann algebras

On von Neumann algebras generated by free Poisson random weights

Non-isomorphism of $q$ -Gaussian von Neumann Algebras in Infinite Variables