Amalgamating R^ω-embeddable von Neumann algebras

2013/01/29 by Ilijas Farah, Farah, Ilijas, Isaac Goldbring +3
Computer Science · Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Advanced Topology and Set Theory #Computability, Logic, AI Algorithms #FOS: Mathematics #Logic (math.LO) #Operator Algebras (math.OA)

paper · pdf · doi:10.48550/arxiv.1301.6816

openalex publication_date 2013/01/29 · openalex created_date 2022/09/01 · openalex updated_date 2026/07/28

Abstract

We observe how a classical model-theoretic fact proves the existence of many strong amalgamation bases for the class of R^ω-embeddable von Neumann algebras, where R is the hyperfinite II₁ factor. In particular, we shows that R itself is a strong amalgamation base.

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