Equivalence of tensor products over a category of W*-algebras

2017/12/20 by Ryszard Paweł Kostecki, Tomasz I. Tylec, Kostecki, Ryszard Paweł +1
Mathematics · #46L06 #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Operator Algebras (math.OA)

paper · pdf · doi:10.48550/arxiv.1712.07399

openalex publication_date 2017/12/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove the equivalence of two tensor products over a category of W*-algebras with normal (not necessarily unital) *-homomorphisms, defined by Guichardet and Dauns, respectively. This structure differs from the standard tensor product construction by Misonou--Takeda--Turumaru, which is based on weak topological completion, and does not have a categorical universality property.

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