Classes of conditional expectations over von Neumann algebras

DOI10.1016/0022-1236(90)90065-SzbMath0718.46038OpenAlexW1975372499MaRDI QIDQ2639302

Carlo Cecchini, Dénes Petz

Publication date: 1990

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(90)90065-s

zbMATH Keywords

conditional expectationaffine structurenormal state space of a von Neumann algebra

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51) States of selfadjoint operator algebras (46L30)

Related Items (4)

Fixed points subalgebras and invariant states for \(\omega{}\)-conditional expectations ⋮ Stochastic coupling for von Neumann algebras ⋮ WEAK AND STRONG MARTINGALE CONVERGENCES OF GENERALIZED CONDITIONAL EXPECTATIONS IN NONCOMMUTATIVE L^p-SPACES ⋮ Spatial Stochastic Transitions on Von Neumann Algebras

Cites Work

• State extensions and a Radon-Nikodým theorem for conditional expectations on von Neumann algebras
• Sufficient subalgebras and the relative entropy of states of a von Neumann algebra
• 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
• Conditional expectations in von Neumann algebras
• Lebesgue Decomposition of States on a Von Neumann Algebra
• SUFFICIENCY OF CHANNELS OVER VON NEUMANN ALGEBRAS
• The standard form of von Neumann algebras.
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