FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2000, VOLUME 6, NUMBER 4, PAGES 977-984

**On tensor products of strict $C$*-algebras**

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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Last modified: February 13, 2001