For C*-algebras C and D and their C*-subalgebras A and B, it is shown with other related results that if all irreducible representations of A are finite dimensional with bounded degree then the family of product functionals in the minimal C*-tensor product C_⊗_D determines completely the subalgebra A®B. Relations to Effros' recent work are also discussed.
Cite this article
Jun Tomiyama, Tensor Products and Approximation Problems of <i>C</i>*-Algebras. Publ. Res. Inst. Math. Sci. 11 (1975), no. 1, pp. 163–183DOI 10.2977/PRIMS/1195191690