Non-commutativity of the central sequence algebra for separable non-type I C*-algebras

DOI10.1112/jlms/jdw035zbMath1362.46050arXiv1510.00468OpenAlexW2238306098MaRDI QIDQ2822148

Eberhard Kirchberg, Hiroshi Ando

Publication date: 27 September 2016

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.00468

zbMATH Keywords

hyperfinite von Neumann algebracentral sequence \(C^\ast\)-algebrasub-quotient

Mathematics Subject Classification ID

Ultraproducts in functional analysis (46M07) General theory of (C^*)-algebras (46L05)

Related Items (8)

Commutativity of central sequence algebras ⋮ Applications of model theory to \(C^*\)-dynamics ⋮ Regularity of Villadsen algebras and characters on their central sequence algebras ⋮ Equivariant property (SI) revisited ⋮ Trace spaces of counterexamples to Naimark's problem ⋮ Maximal tracial algebras ⋮ CENTRAL SEQUENCES IN SUBHOMOGENEOUS UNITAL C*-ALGEBRAS ⋮ Nonseparable CCR algebras

Cites Work

• The commutant of \(L(H)\) in its ultrapower may or may not be trivial
• The relative commutant of separable C\(^*\)-algebras of real rank zero
• Action of discrete amenable groups on von Neumann algebras
• On restricted perturbations in inverse images and a description of normalizer algebras in \(C^*\)-algebras
• Ultraproducts of von Neumann algebras
• Type I \(C^ *\)-algebras
• Central Sequences and Inner Derivations of Separable C ∗ -Algebras
• Outer conjugacy classes of automorphisms of factors
• Commutants of unitaries in UHF algebras and functorial properties of exactness.
• Homogeneity of the Pure State Space of a Separable C^*-Algebra
• Consistency of a counterexample to Naimark's problem

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