1 citations · 1 across the 5 of their papers we have counts for
5 papers
Non-isomorphism of -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 \((-1,1)\).
Convolution-type Bombieri-Vinogradov theorem with well-factorable weights, and its applications
Zhiyuan Yang
In this paper, we consider the asymptotic density of and , where denote the largest prime factor of . We…
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 are mixing and biexact subalgebras of a separab…
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 on a von Neumann algebra . We give an explicit construction…
A Conjugate System for Twisted Araki-Woods von Neumann Algebras of finite dimensional spaces
Zhiyuan Yang
We compute the conjugate system of twisted Araki-Woods von Neumann algebras for a compatible braided crossing symmetric twist on a finite dimensional Hilbe…