The relative dixmier property for inclusions of von Neuman algebras of finite index

DOI10.1016/S0012-9593(00)87717-4zbMath0966.46036MaRDI QIDQ4719222

Sorin Popa

Publication date: 15 February 2000

Published in: Annales Scientifiques de l’École Normale Supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_1999_4_32_6_743_0

zbMATH Keywords

conditional expectationvon Neumann algebrasrelative Dixmier propertyinclusion of \(II_1\) factorsvon Neumann crossed product algebra

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Noncommutative dynamical systems (46L55) Subfactors and their classification (46L37)

Related Items (12)

A Dixmier type averaging property of automorphisms on a C∗-algebra ⋮ On a composition of subfactors with group subfactors ⋮ The Dixmier property and tracial states for \(C^\ast\)-algebras ⋮ Relative commutants of finite groups of unitary operators and commuting maps ⋮ Free independence in ultraproduct von Neumann algebras and applications ⋮ Irreducible inclusions of simple \(C^\ast\)-algebras ⋮ \(\mathrm{C}^\ast\)-algebras. Abstracts from the workshop held August 7--13, 2022 ⋮ \(W^\ast\)-representations of subfactors and restrictions on the Jones index ⋮ A II\(_{1}\) factor approach to the Kadison-Singer problem ⋮ On the relative Dixmier property for inclusions of \(C^*\)-algebras ⋮ Commutators associated to a subfactor and its relative commutants ⋮ Lattice of intermediate subalgebras

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