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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 is a unital separable -algebra, 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 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…