On Popa’s factorial commutant embedding problem

DOI10.1090/proc/15141zbMath1456.03058arXiv2003.10004OpenAlexW3019797016MaRDI QIDQ5119251

Isaac Goldbring

Publication date: 3 September 2020

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

Full work available at URL: https://arxiv.org/abs/2003.10004

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Ultraproducts and related constructions (03C20) Models of other mathematical theories (03C65) Other model constructions (03C30) Continuous model theory, model theory of metric structures (03C66)

Related Items (5)

Existentially closed \(\mathrm{W}^*\)-probability spaces ⋮ Covering entropy for types in tracial W^*-algebras ⋮ Embedding universality for \(\mathrm{II}_1\) factors with property (T) ⋮ Properties expressible in small fragments of the theory of the hyperfinite \(\mathrm{II}_1\) factor ⋮ Factorial relative commutants and the generalized Jung property for \(\mathrm{II}_1\) factors

Cites Work

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• On algebraically closed groups
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• The Theory of Tracial Von Neumann Algebras Does Not Have A Model Companion
• On the classification of inductive limits of II$_{1}$ factors with spectral gap
• ENFORCEABLE OPERATOR ALGEBRAS
• Model theory of operator algebras III: elementary equivalence and II₁factors

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