Non-embeddable \(\mathrm{II}_1\) factors resembling the hyperfinite \(\mathrm{II}_1\) factor

DOI10.4171/JNCG/474zbMath1517.46046arXiv2101.10467MaRDI QIDQ6039642

Isaac Goldbring

Publication date: 23 May 2023

Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.10467

zbMATH Keywords

existentially closedConnes embedding problemenforceable II\(_1\) factorJung property for II\(_1\) factors

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Model-theoretic forcing (03C25) Classification of factors (46L36) Continuous model theory, model theory of metric structures (03C66)

Related Items (1)

Covering entropy for types in tracial W^*-algebras

Cites Work

• Relative commutants of strongly self-absorbing \(\mathrm{C}^\ast\)-algebras
• Amenability, tubularity, and embeddings into \(\mathcal{R}^{\omega}\)
• Factorial relative commutants and the generalized Jung property for \(\mathrm{II}_1\) factors
• HNN extensions of von Neumann algebras
• \(\mathrm{W}^*\)-rigidity paradigms for embeddings of \(\mathrm{II}_1\) factors
• Existentially closed ${\rm II}_1$ factors
• On Ultraproduct Embeddings and Amenability for Tracial von Neumann Algebras
• ENFORCEABLE OPERATOR ALGEBRAS
• Some results on tracial stability and graph products

This page was built for publication: Non-embeddable \(\mathrm{II}_1\) factors resembling the hyperfinite \(\mathrm{II}_1\) factor