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Notes on automorphisms of ultrapowers of II1factors

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Publication:3651150
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DOI10.4064/sm195-3-1zbMath1183.46067arXiv0809.4439OpenAlexW2964155166MaRDI QIDQ3651150

David J. Sherman

Publication date: 8 December 2009

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0809.4439


zbMATH Keywords

automorphismsultrapowerouter automorphismapproximately inner\(\text{II}_1\) factors


Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Ultraproducts in functional analysis (46M07) Automorphisms of selfadjoint operator algebras (46L40) Classification of factors (46L36)


Related Items (7)

Between reduced powers and ultrapowers ⋮ Divisible operators in von Neumann algebras ⋮ Model theory of operator algebras. II: Model theory ⋮ Model theory of operator algebras III: elementary equivalence and II1factors ⋮ Topological dynamical systems associated to \(\text{II}_{1}\)-factors ⋮ Convex sets associated to \(C^{\ast}\)-algebras ⋮ Factorial relative commutants and the generalized Jung property for \(\mathrm{II}_1\) factors




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