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On Ultraproduct Embeddings and Amenability for Tracial von Neumann Algebras

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Publication:5006213
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DOI10.1093/imrn/rnaa257zbMath1481.46060arXiv1907.03359OpenAlexW3096491772MaRDI QIDQ5006213

Scott E. Atkinson, Srivatsav Kunnawalkam Elayavalli

Publication date: 13 August 2021

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.03359


zbMATH Keywords

amenabilityConnes embedding problemtracial von Neumann algebrasself-tracial stability


Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10)


Related Items (8)

A random matrix approach to the Peterson-Thom conjecture ⋮ Non-embeddable \(\mathrm{II}_1\) factors resembling the hyperfinite \(\mathrm{II}_1\) factor ⋮ Flexible Hilbert-Schmidt stability versus hyperlinearity for property (T) groups ⋮ An exotic \(\mathrm{II}_1\) factor without property Gamma ⋮ Covering entropy for types in tracial W<sup>*</sup>-algebras ⋮ Factorial relative commutants and the generalized Jung property for \(\mathrm{II}_1\) factors ⋮ Duality for optimal couplings in free probability ⋮ The Connes embedding problem: A guided tour







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