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State extensions and a Radon-Nikodým theorem for conditional expectations on von Neumann algebras

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Publication:909943
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DOI10.2140/pjm.1989.138.9zbMath0695.46024OpenAlexW2053889158MaRDI QIDQ909943

Carlo Cecchini, Dénes Petz

Publication date: 1989

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1989.138.9


zbMATH Keywords

cyclic and separating vectorgeneralization of Radon-Nikodym's theoremvon Neumann algebra with a faithful normal state


Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51)


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Approximate recoverability and relative entropy. II: 2-positive channels of general von Neumann algebras ⋮ Classes of conditional expectations over von Neumann algebras ⋮ Trace- and improved data-processing inequalities for von Neumann algebras ⋮ Stochastic coupling for von Neumann algebras ⋮ COVARIANT GNS REPRESENTATION FOR OPEN C*-DYNAMICAL SYSTEMS ⋮ On Classical and Quantum Liftings ⋮ Approximate recovery and relative entropy. I: General von Neumann subalgebras ⋮ Spatial Stochastic Transitions on Von Neumann Algebras ⋮ INDEPENDENCE AND MARKOVIANITY FOR STATES ON VON NEUMANN ALGEBRAS



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