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International Journal of Mathematics and Mathematical Sciences - Volume 14 1991, Issue 1, Pages 139-147

Faculty of Education, Niigata University, Niigata 950-21, Japan

Department of Mathematics, Song Sim College for Women, Bucheon, Seoul 422-743, Korea

Received 26 January 1990

Copyright © 1991 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Let A and B be C*-algebras and let D be a C*-subalgebra of B. Weshow that if D is separably injective then the triple A,B,D verifies the slice mapconjecture. As an application, we prove that the minimal C*-tensor product A⊗B isseparably injective if and only if both A and B are separably injective and either A orB is finite-dimensional.

Autor: Tadasi Huruya and Seung-Hyeok Kye



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