Minghui Ma

activity

20242026

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math.OA2026

Strongly irreducible operators, $K_{0}$ -groups, and Jones indices in the hyperfinite type $II_{1}$ factor

Junsheng Fang, Chunlan Jiang, Minghui Ma +1

In this paper, we study the strong irreducibility of a class of operators associated with irrational rotation algebras in the hyperfinite type $II_{1}$ factor $R$ .…

math.FA2026

Kaplansky's second test problem in operator algebras

Chunlan Jiang, Minghui Ma, Rui Shi +1

Kaplansky's second test problem on similarity asks: if $T$ and $S$ are elements in a unital Banach algebra $B$ and $T \oplus T$ is similar to $S \oplus S$ in $\mathbb{M}_2(…

quant-ph2026

Bargmann invariants and local unitary equivalence

Minghui Ma, Rui Shi

In this paper, we study the local unitary equivalence of quantum states on $C^{n} \otimes C^{n}$ , which is an important notion in quantum information theory. For the ca…

Strongly irreducible operators, K0​-groups, and Jones indices in the hyperfinite type II1​ factor

Kaplansky's second test problem in operator algebras

Bargmann invariants and local unitary equivalence

Strongly irreducible operators, $K_{0}$ -groups, and Jones indices in the hyperfinite type $II_{1}$ factor