5 papers · 1 filter
Strongly irreducible operators, -groups, and Jones indices in the hyperfinite type 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 factor .…
Equivalence of states and bimodule quantum channels
Linzhe Huang, Chunlan Jiang, Zhengwei Liu +1
We study the action of quantum channels on states on a von Neumann algebra with conserved quantities encoded by a subalgebra . We define a phase as an eq…
Kaplansky's second test problem in operator algebras
Chunlan Jiang, Minghui Ma, Rui Shi +1
Kaplansky's second test problem on similarity asks: if and are elements in a unital Banach algebra and is similar to in $\mathbb{M}_2(…
Intertwining Properties for Bimodule Quantum Markov Semigroups
Chunlan Jiang, Jincheng Wang, Jinsong Wu
In this paper, we study the Bakry-Émery estimates for GNS- and KMS-symmetric semigroups in terms of the Fourier multiplier of the gradient form and the iterated gradient form in th…
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…