Junsheng Fang

collaborators

3 papers

math.OA2026

Completely Bounded Representations Into Von Neumann Algebras And Connes Embedding Problem

Junsheng Fang, Chunlan Jiang, Liguang Wang +1

In this paper, we prove that if $A$ is a unital separable $C^{*}$ -algebra, $M$ is a von Neumann algebra which has the Kirchberg's quotient weak expectation proper…

math.OA2025

A local quantization principle for inclusions of tracial von Neumann algebras

Xinyan Cao, Junsheng Fang, Chunlan Jiang +1

We study the local quantization principle (after Sorin Popa~\cite{popa 94} and \cite{popa 95}) of inclusions of tracial von Neumann algebras. Let $(M, τ)$ be a type ${\rm…

math.FA2025

The invariant subspace problem and Rosenblum operators I

Junsheng Fang, Bingzhe Hou, Chunlan Jiang +1

Let $T \in B (H)$ be an invertible operator. From the 1940's, Gelfand, Hille and Wermer investigated the invariant subspaces of $T$ by analyzing the growth of $∥ T^{n} ∥$ , wh…