JournalsprimsVol. 11, No. 1pp. 163–183

Tensor Products and Approximation Problems of <i>C</i>*-Algebras

  • Jun Tomiyama

    Yamagata University, Japan
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Abstract

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.

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Jun Tomiyama, Tensor Products and Approximation Problems of <i>C</i>*-Algebras. Publ. Res. Inst. Math. Sci. 11 (1975), no. 1, pp. 163–183

DOI 10.2977/PRIMS/1195191690