Ultraproducts, QWEP von Neumann algebras, and the Effros-Maréchal topology

DOI10.1515/CRELLE-2014-0005zbMath1382.46047arXiv1306.0460OpenAlexW2963080955MaRDI QIDQ294269

Carl Winsløw, Hiroshi Ando, Uffe Haagerup

Publication date: 10 June 2016

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.0460

zbMATH Keywords

von Neumann algebrasfactorultraproductsConnes embedding problemEffros-Maréchal topologyQWEPstandard form

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Ultraproducts in functional analysis (46M07) Noncommutative measure and integration (46L51) Classification of factors (46L36)

Related Items (6)

Existentially closed \(\mathrm{W}^*\)-probability spaces ⋮ Free independence in ultraproduct von Neumann algebras and applications ⋮ Dilations of semigroups on von Neumann algebras and noncommutative \(L^{p}\)-spaces ⋮ Haagerup approximation property for arbitrary von Neumann algebras ⋮ Ultraproducts of von Neumann algebras ⋮ The Connes embedding problem: A guided tour

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• Conditional expectations in von Neumann algebras
• On nuclear C\(^*\)-algebras
• The Effros-Marechal topology in the space of von Neumann algebras
• ABOUT THE QWEP CONJECTURE
• Convergence of Closed Subsets in a Topological Space

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