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arXiv · 1712.07399

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

Ryszard Paweł Kostecki·Tomasz Ignacy Tylec
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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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Ryszard Paweł Kostecki, Tomasz Ignacy Tylec. 2017-12-20. Equivalence of tensor products over a category of W*-algebras. https://arxiv.org/abs/1712.07399

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