On the relative Dixmier property for inclusions of \(C^*\)-algebras

DOI10.1006/jfan.1999.3536zbMath0953.46027OpenAlexW2089853741MaRDI QIDQ1971934

Sorin Popa

Publication date: 29 May 2000

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

Full work available at URL: https://doi.org/10.1006/jfan.1999.3536

zbMATH Keywords

traceconditional expectationcrossed productGNS representationConnes' local Rohlin's theoremDixmier propertyinclusions of \(C^*\)-algebrasinclusions of \(C^\ast\)-algebrasouter automorphisms on type \(\text{II}_1\) factors

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) General theory of (C^*)-algebras (46L05) Noncommutative probability and statistics (46L53) Classifications of (C^*)-algebras (46L35) Automorphisms of selfadjoint operator algebras (46L40)

Related Items (15)

A Dixmier type averaging property of automorphisms on a C∗-algebra ⋮ The Dixmier property and tracial states for \(C^\ast\)-algebras ⋮ On invariant subalgebras of group and von Neumann algebras ⋮ Irreducible inclusions of simple \(C^\ast\)-algebras ⋮ \(\mathrm{C}^\ast\)-algebras. Abstracts from the workshop held August 7--13, 2022 ⋮ On maximal ideals in certain reduced twisted C*-crossed products ⋮ On reduced twisted group \(C^{\ast}\)-algebras that are simple and/or have a unique trace ⋮ HILBERT C*-BIMODULES OF FINITE INDEX AND APPROXIMATION PROPERTIES OF C*-ALGEBRAS ⋮ On weakly central \(C^*\)-algebras ⋮ Commutators associated to a subfactor and its relative commutants ⋮ On ergodic embeddings of factors ⋮ Structure of bicentralizer algebras and inclusions of type III factors ⋮ On simplicity of reduced C*-algebras of groups ⋮ \(C^\ast \)-irreducibility for reduced twisted group \(C^\ast \)-algebras ⋮ Lattice of intermediate subalgebras

Cites Work

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• Some simple C*-algebras constructed as crossed products with discrete outer automorphism groups
• Outer automorphisms and reduced crossed products of simple C*-algebras
• On a problem of R.V. Kadison on maximal Abelian *-subalgebras in factors
• Simplicity of the \(C^*\)-algebra associated with the free group on two generators
• Classification of injective factors. Cases \(\mathrm{II}_1\), \(\mathrm{II}_\infty\), \(\mathrm{III}_\lambda\), \(\lambda\neq 1\)
• A Galois correspondence for compact groups of automorphisms of von Neumann algebras with a generalization to Kac algebras
• Groups with simple reduced \(C^*\)-algebras
• Some groups whose reduced \(C^*\)-algebra is simple
• Index for subfactors
• Classification of amenable subfactors of type II
• Conditional expectations in von Neumann algebras
• On the Dixmier property of certain algebras
• Index for 𝐶*-subalgebras
• Entropy and index for subfactors
• On the Dixmier property of simple C*-algebras
• On representations of finite type
• The relative dixmier property for inclusions of von Neuman algebras of finite index
• Two finite, non‐hyperfinite, non‐isomorphic factors
• Locally compact transformation groups and 𝐶*- algebras

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