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arxiv: 1301.6816 · v1 · pith:ETVP4WNXnew · submitted 2013-01-29 · 🧮 math.OA · math.LO

Amalgamating R^ω-embeddable von Neumann algebras

classification 🧮 math.OA math.LO
keywords algebrasamalgamationneumannomega-embeddablestrongamalgamatingbasebases
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We observe how a classical model-theoretic fact proves the existence of many strong amalgamation bases for the class of R^\omega-embeddable von Neumann algebras, where R is the hyperfinite II_1 factor. In particular, we shows that R itself is a strong amalgamation base.

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