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arXiv · 2304.08437

Preservation of elementarity by tensor products of tracial von Neumann algebras

Ilijas Farah·Saeed Ghasemi
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Abstract

Tensoring with type I algebras preserves elementary equivalence in the category of tracial von Neumann algebras. The proof involves a novel and general Feferman--Vaught-type theorem for direct integrals of metric structures.

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Ilijas Farah, Saeed Ghasemi. 2023-04-17. Preservation of elementarity by tensor products of tracial von Neumann algebras. https://doi.org/10.2140/pjm.2024.332.91

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