Minimal faces and Schur's Lemma for embeddings into $R^\mathcal{U}$

DOI10.1512/iumj.2018.67.7431zbMath1414.46040arXiv1608.08189OpenAlexW2889014115WikidataQ124805028 ScholiaQ124805028MaRDI QIDQ4962403

Scott E. Atkinson

Publication date: 2 November 2018

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.08189

zbMATH Keywords

embeddingSchur lemmaultrapowerhyperfinite factorII$_1$-factor

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Automorphisms of selfadjoint operator algebras (46L40) Classification of factors (46L36)

Related Items

Factorial relative commutants and the generalized Jung property for \(\mathrm{II}_1\) factors

Cites Work

• Cyclic Hilbert spaces and Connes' embedding problem
• Dedekind complete posets from sheaves on von Neumann algebras
• Topological dynamical systems associated to \(\text{II}_{1}\)-factors
• Convex sets associated to \(C^{\ast}\)-algebras
• Approach for a metric space with a convex combination operation and applications
• Groups associated to II\(_{1}\)-factors
• Introduction to sofic and hyperlinear groups and Connes' embedding conjecture. With an appendix by Vladimir Pestov
• On the axiomatization of convex subsets of Banach spaces
• A convex structure on sofic embeddings