Minghui Ma

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5 papers · 1 filter

math.OA2026

The similarity of irreducible operators in factors

Minghui Ma, Rui Shi, Shanshan Yang

An operator $T$ in a separable factor $M$ is said to be irreducible in $M$ if the von Neumann subalgebra $W^{*} (T)$ generated by $T$ is an irreducible subfactor o…

math.OA2026

Operators with disconnected spectrum in von Neumann algebras

Minghui Ma, Rui Shi, Tianze Wang

Let $M$ be a von Neumann algebra, $I$ a weak-operator dense ideal in $M$ , and $I^¦$ a unitarily invariant $∥ \cdot ∥$ -dominating norm on $I$ .…

math.OA2025

Irreducible operators in von Neumann algebras

Sukitha Adappa, Minghui Ma, Junhao Shen +2

Let $M$ be a separable von Neumann algebra with center $Z (M)$ . An operator $T$ in $M$ is called irreducible if the von Neumann algebra $W^*(…

math.OA2025

Free semigroupoid algebras and the first cohomology groups

Linzhe Huang, Minghui Ma

This paper investigates derivations of the free semigroupoid algebra $L_{G}$ of a countable or uncountable directed graph $G$ and its norm-closed version, the tensor algeb…

math.OA2024

Hochschild cohomology for free semigroup algebras

Linzhe Huang, Minghui Ma, Xiaomin Wei

This paper focuses on the cohomology of operator algebras associated with the free semigroup generated by the set ${z_{I^} \pm}_{I^\pm \in I^}$ , with the left regular free semigroup algebra…