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ArticleOriginal scientific text

Title

Characterization of strict C*-algebras

Authors 1

Affiliations

  1. Department of Function Theory and Functional Analysis, Mechanics-Mathematics Faculty, Moscow State University, Lenin Hills, 117234 Moscow, Russia

Abstract

A Banach algebra A is called strict if the product morphism is continuous with respect to the weak norm in A ⊗ A. The following result is proved: A C*-algebra is strict if and only if all its irreducible representations are finite-dimensional and their dimensions are bounded.

Bibliography

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  6. N. Th. Varopoulos, Some remarks on Q-algebras, Ann. Inst. Fourier (Grenoble) 22 (4) (1972), 1-11.
Studia Mathematica
1994-1995/112/1
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Pages:
51-58
Main language of publication
English
Received
1993-12-12
Published
1994
Exact and natural sciences