Characterization of strict C*-algebras
Studia Mathematica, Tome 112 (1994) no. 1, pp. 51-58
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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{10_4064_sm_112_1_51_58,
author = {O. Yu Aristov},
title = {Characterization of strict {C*-algebras}},
journal = {Studia Mathematica},
pages = {51--58},
publisher = {mathdoc},
volume = {112},
number = {1},
year = {1994},
doi = {10.4064/sm-112-1-51-58},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-112-1-51-58/}
}
O. Yu Aristov. Characterization of strict C*-algebras. Studia Mathematica, Tome 112 (1994) no. 1, pp. 51-58. doi: 10.4064/sm-112-1-51-58
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