Separable injectivity and C*-tensor products

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 inject...

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Bibliographic Details
Main Authors: Tadasi Huruya, Seung-Hyeok Kye
Format: Article
Language:English
Published: Hindawi Limited 1991-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171291000133