Stochastic coupling for von Neumann algebras

DOI10.1007/BF02743174zbMath0970.46047OpenAlexW1968292113MaRDI QIDQ1974366

Carlo Cecchini

Publication date: 7 May 2000

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02743174

zbMATH Keywords

conditional expectationnoncommutative Markov processesmodular groupsnorm-one projectioncanonical state extensiondual mappingsstandard modular theorystochastic transitions of von Neumann algebras

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Noncommutative probability and statistics (46L53)

Cites Work

• State extensions and a Radon-Nikodým theorem for conditional expectations on von Neumann algebras
• Operator valued weights in von Neumann algebras. I
• Operator valued weights in von Neumann algebras. II
• On the spatial theory of von Neumann algebras
• Conditional expectations in von Neumann algebras and a theorem of Takesaki
• Some properties of modular conjugation operator of von Neumann algebras and a non-commutative Radon-Nikodym theorem with a chain rule
• Conditional expectations in von Neumann algebras
• Classes of conditional expectations over von Neumann algebras
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