The Theory of Tracial Von Neumann Algebras Does Not Have A Model Companion

DOI10.2178/jsl.7803170zbMath1316.03019arXiv1207.0169OpenAlexW2157412138MaRDI QIDQ2869913

Isaac Goldbring, Bradd Hart, Thomas Sinclair

Publication date: 7 January 2014

Published in: The Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.0169

zbMATH Keywords

model companionmodel-complete theory\(\Pi\)-factorstracial von Neuman algebra

Mathematics Subject Classification ID

Models of other mathematical theories (03C65)

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Cites Work

• Topological dynamical systems associated to \(\text{II}_{1}\)-factors
• Amenability, tubularity, and embeddings into \(\mathcal{R}^{\omega}\)
• Amenable correspondences and approximation properties for von Neumann algebras
• Free entropy dimension in amalgamated free products
• A GEOMETRIC INTRODUCTION TO FORKING AND THORN-FORKING