Separable injectivity and C * -tensor products

Tadasi Huruya and Seung-Hyeok Kye

International Journal of Mathematics and Mathematical Sciences, 1991, vol. 14, 1-9

Abstract:

Let A and B be C * -algebras and let D be a C * -subalgebra of B . We show that if D is separably injective then the triple ( A , B , D ) verifies the slice map conjecture. As an application, we prove that the minimal C * -tensor product A ⊗ B is separably injective if and only if both A and B are separably injective and either A or B is finite-dimensional.

Date: 1991
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:162591

DOI: 10.1155/S0161171291000133

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