Geodesic
On tensor products of strict $C^*$-algebras
Fundamentalʹnaâ i prikladnaâ matematika, Tome 6 (2000) no. 4, pp. 977-984 
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/
@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},
     year = {2000},
     volume = {6},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2000_6_4_a1/}
}
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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.