Uniqueness of W*-tensor Products
Corneliu Constantinescu
TL;DR
This paper explores the conditions under which W*-tensor products are unique, revealing that unlike C*-algebras, different C*-norms on the algebraic tensor product of W*-algebras lead to isomorphic W*-tensor products.
Contribution
It demonstrates that, unlike C*-algebras, W*-tensor products are unique up to isomorphism regardless of the C*-norm used.
Findings
W*-tensor products are unique up to isomorphism.
Different C*-norms on the algebraic tensor product yield isomorphic W*-tensor products.
Contrast with non-uniqueness in C*-algebra tensor products.
Abstract
In contrast to C*-algebras, distinct C*-norms on the algebraic tensor product of two W*-algebras produce isomorphic W*-tensor products
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Taxonomy
TopicsTensor decomposition and applications · Elasticity and Material Modeling