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math.OA2025
Bimodule KMS Symmetric Quantum Markov Semigroups and Gradient Flows
Chunlan Jiang, Jincheng Wan, Jinsong Wu
The bimodule KMS symmetry of a bimodule quantum Markov semigroup extends the classical KMS symmetry of a quantum Markov semigroup. Compared with (bimodule) GNS symmetry, the (bimod…
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 be a type ${\rm…
math.OA2025
Density of irreducible operators in the trace-class norm
Junsheng Fang, Chunlan Jiang, Minghui Ma +3
In 1968, Paul Halmos initiated the research on density of the set of irreducible operators on a separable Hilbert space. Through the research, a long-standing unsolved problem inqu…