Jinghao Huang

collaborators

3 papers

math.OA2025

Rank metric isometries and determinant-preserving mappings on II $_{1}$ -factors

Jinghao Huang, Karimbergen Kudaybergenov, Fedor Sukochev

We fully describe the general form of a linear (or conjugate-linear) rank metric isometry on the Murray--von Neumann algebra associated with a II $_{1}$ -factor. As an application, we…

math.OA2024

Lack of isomorphic embeddings of $ℓ_{p, q}$ into $L_{p, q} (M, τ)$ over a noncommutative probability space

Jinghao Huang, Olga Sadovskaya, Fedor Sukochev +1

We prove that the sequence space $ℓ_{p, q}$ does not embed into $L_{p, q} (M, τ)$ for any noncommutative probability space $(M, τ)$ , $1 < p < \infty$ , $1\le q<\inft…

math.OA2023

Innerness of derivations into noncommutative symmetric spaces is determined commutatively

Jinghao Huang, Fedor Sukochev

Let $E = E (0, \infty)$ be a symmetric function space and $E (M, τ)$ be a symmetric operator space associated with a semifinite von Neumann algebra with a faithful normal semif…

Rank metric isometries and determinant-preserving mappings on II1​-factors

Lack of isomorphic embeddings of ℓp,q​ into Lp,q​(M,τ) over a noncommutative probability space

Innerness of derivations into noncommutative symmetric spaces is determined commutatively

Rank metric isometries and determinant-preserving mappings on II $_{1}$ -factors

Lack of isomorphic embeddings of $ℓ_{p, q}$ into $L_{p, q} (M, τ)$ over a noncommutative probability space