The modular symmetry of Markov maps

DOI10.1016/J.JMAA.2016.03.013zbMath1355.46053arXiv1905.06729OpenAlexW2295985737MaRDI QIDQ268557

Jon P. Bannon, Jan Cameron, Kunal Mukherjee

Publication date: 15 April 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.06729

zbMATH Keywords

von Neumann algebrascompletely positive maps

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Operator spaces and completely bounded maps (46L07) Automorphisms of selfadjoint operator algebras (46L40)

Related Items (6)

Balance between quantum Markov semigroups ⋮ Quantum operations on conformal nets ⋮ E₀-semigroups of free Araki-Woods factors ⋮ One-parameter isometry groups and inclusions between operator algebras ⋮ Noncommutative joinings. II ⋮ On noncommutative joinings III

Cites Work

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• Factorization and dilation problems for completely positive maps on von Neumann algebras
• On the projection of norm one in \(W^*\)-algebras. III
• Conditional expectations in von Neumann algebras and a theorem of Takesaki
• Theory of operator algebras. II
• The Haagerup approximation property for von Neumann algebras via quantum Markov semigroups and Dirichlet forms
• Joinings of \(W^*\)-dynamical systems
• On ergodic theorems for free group actions on noncommutative spaces
• The standard form of von Neumann algebras.
• Relatively independent joinings and subsystems of W*-dynamical systems

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