The non-commutative flow of weights on a von Neumann algebra

DOI10.1006/jfan.2000.3718zbMath0995.46043OpenAlexW2015644789MaRDI QIDQ5937220

Tony Falcone, Masamichi Takesaki

Publication date: 22 October 2002

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

Full work available at URL: https://doi.org/10.1006/jfan.2000.3718

zbMATH Keywords

multiplicationfunctorcategory of von Neumann algebras with spatial isomorphism as morphismsconjugationcovariant systemfaithful, normal and semifinite weightsFell's bundleinvolutive Banach algebranoncommutative \(L^p\)-spacesnoncommutative flow of weights

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Classifications of (C^*)-algebras (46L35) Noncommutative function spaces (46L52)

Related Items (16)

Rohlin flows on von Neumann algebras ⋮ Classification of actions of discrete Kac algebras on injective factors ⋮ Actions of groups and quantum groups on amenable factors ⋮ Centrally free actions of amenable \(\mathrm{C}^*\)-tensor categories on von Neumann algebras ⋮ Type III factors with unique Cartan decomposition ⋮ Noncommutative integration ⋮ Approximation properties and absence of Cartan subalgebra for free Araki-Woods factors ⋮ Haagerup approximation property for arbitrary von Neumann algebras ⋮ Bass-Serre rigidity results in von Neumann algebras ⋮ Classification of minimal actions of a compact Kac algebra with amenable dual on injective factors of type III ⋮ Noncommutative \(L^p\) structure encodes exactly Jordan structure ⋮ On the structure of isometries between noncommutative \(L^p\) spaces ⋮ Approximate innerness and central triviality of endomorphisms ⋮ The General Form of γ-Family of Quantum Relative Entropies ⋮ HNN extensions of von Neumann algebras ⋮ Amalgamated free product type III factors with at most one Cartan subalgebra

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