Fubini Products of $C^*$-algebras and Applications to $C^*$-exactness

Tadasi Huruya; Seung-Hyeok Kye

doi:10.2977/prims/1195174694

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Fubini Products of $C^$-algebras and Applications to $C^$-exactness

Tadasi Huruya Seung-Hyeok Kye

Year: 1988 Journal: Publications of the Research Institute for Mathematical Sciences Vol: 24 (5)Pages: 765-773 Publisher: Kyoto University

DOI: 10.2977/prims/1195174694

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Abstract

For C^* -algebras A and B , we investigate necessary and sufficient conditions for which the Fubini product A\otimes_F B coincides with the ordinary minimal tensor product A\otimes B . As an application of our methods, we also give several necessary and sufficient conditions for C^* -exactness.

Keywords:

Fubini's theorem Mathematics Pure mathematics Algebra over a field

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Advanced Operator Algebra Research

Physical Sciences → Mathematics → Mathematical Physics

Advanced Topics in Algebra

Physical Sciences → Mathematics → Algebra and Number Theory

Holomorphic and Operator Theory

Physical Sciences → Mathematics → Applied Mathematics

Fubini Products of $C^$-algebras and Applications to $C^$-exactness

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