The relative commutant of separable C\(^*\)-algebras of real rank zero

DOI10.1016/J.JFA.2008.10.007zbMath1177.46042arXiv0809.2843OpenAlexW2033790959MaRDI QIDQ1024575

Ilijas Farah

Publication date: 17 June 2009

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

Full work available at URL: https://arxiv.org/abs/0809.2843

zbMATH Keywords

ultrapowerscontinuum hypothesisC\(^{*}\)-algebras

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Continuum hypothesis and Martin's axiom (03E50) Applications of model theory (03C98)

Related Items (5)

On the commutant of \(B(H)\) in its ultrapower ⋮ Model theory of operator algebras III: elementary equivalence and II₁factors ⋮ The commutant of \(L(H)\) in its ultrapower may or may not be trivial ⋮ Non-commutativity of the central sequence algebra for separable non-type I C*-algebras ⋮ A DICHOTOMY FOR THE NUMBER OF ULTRAPOWERS

Cites Work

• The commutant of \(L(H)\) in its ultrapower may or may not be trivial
• Classification theory and the number of non-isomorphic models.
• Perturbation questions in the Cuntz picture of \(K\)-theory
• Operator algebras. Theory of \(C^*\)-algebras and von Neumann algebras
• Embedding of exact C* -algebras in the Cuntz algebra 𝒪2
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