PRESERVATION OF ELEMENTARITY BY TENSOR PRODUCTS OF TRACIAL VON NEUMANN ALGEBRAS

被引：0
|
作者：
Farah, Ilijas [1 ,2 ]
Ghasemi, Saeed [1 ,3 ]
机构：
[1] York Univ, Dept Math & Stat, N York, ON, Canada
[2] Matemat Inst Sanu, Beograd, Serbia
[3] Lakehead Univ, Dept Math Sci, Thunder Bay, ON, Canada
来源：
PACIFIC JOURNAL OF MATHEMATICS | 2024年 / 332卷 / 01期
关键词：
type II1 von Neumann algebras; direct integrals; preservation of elementarity; Feferman-Vaught theorem; continuous logic; MODEL-THEORY;
D O I：
10.2140/pjm.2024.332.91
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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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页数：26
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