Publications of the Research Institute for Mathematical Sciences


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Volume 11, Issue 1, 1975, pp. 163–183
DOI: 10.2977/prims/1195191690

Published online: 1975-04-30

Tensor Products and Approximation Problems of C*-Algebras

Jun Tomiyama[1]

(1) Yamagata University, Japan

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 CD determines completely the subalgebra A®B. Relations to Effros' recent work are also discussed.

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Tomiyama Jun: Tensor Products and Approximation Problems of C*-Algebras. Publ. Res. Inst. Math. Sci. 11 (1975), 163-183. doi: 10.2977/prims/1195191690