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.
@article{bwmeta1.element.bwnjournal-article-smv112i1p51bwm,
author = {O. Aristov},
title = {Characterization of strict C*-algebras},
journal = {Studia Mathematica},
volume = {108},
year = {1994},
pages = {51-58},
zbl = {0829.46042},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv112i1p51bwm}
}
Aristov, O. Characterization of strict C*-algebras. Studia Mathematica, Tome 108 (1994) pp. 51-58. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv112i1p51bwm/
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