On tensor products of strict $C^*$-algebras
Fundamentalʹnaâ i prikladnaâ matematika, Tome 6 (2000) no. 4, pp. 977-984
Voir la notice de l'article provenant de la source Math-Net.Ru
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.
@article{FPM_2000_6_4_a1,
author = {O. Yu. Aristov},
title = {On tensor products of strict $C^*$-algebras},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {977--984},
publisher = {mathdoc},
volume = {6},
number = {4},
year = {2000},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_2000_6_4_a1/}
}
O. Yu. Aristov. On tensor products of strict $C^*$-algebras. Fundamentalʹnaâ i prikladnaâ matematika, Tome 6 (2000) no. 4, pp. 977-984. http://geodesic.mathdoc.fr/item/FPM_2000_6_4_a1/