| Authors: | Farah, Ilijas Ghasemi, Saeed |
Affiliations: | Mathematical Institute of the Serbian Academy of Sciences and Arts | Title: | PRESERVATION OF ELEMENTARITY BY TENSOR PRODUCTS OF TRACIAL VON NEUMANN ALGEBRAS | Journal: | Pacific Journal of Mathematics | Volume: | 332 | Issue: | 1 | First page: | 91 | Last page: | 113 | Issue Date: | 1-Jan-2024 | Rank: | ~M22 | ISSN: | 0030-8730 | DOI: | 10.2140/pjm.2024.332.91 | 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. |
Description: | 24 pages. various minor improvements. To appear in Pacific J. Math |
Keywords: | continuous logic | direct integrals | Feferman–Vaught theorem | preservation of elementarity | type II von Neumann algebras 1; Mathematics - Logic; Mathematics - Logic; Mathematics - Operator Algebras | Publisher: | Mathematical Sciences Publishers |
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