FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
2000, VOLUME 6, NUMBER 4, PAGES 977-984
O. Yu. Aristov
Abstract
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We consider tensor products of $C^*$ -algebras with weakly continuous
multiplication. Some characterizations of such algebras
in terms of weak tensor product and spatial $C^*$ -tensor product
are given. As a consequence we prove a new criterion of the commutativity of
a $C^*$ -algebra.
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