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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