Publications of the Research Institute for Mathematical Sciences
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Published online: 1975-04-30
Tensor Products and Approximation Problems of C*-AlgebrasJun Tomiyama (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 C⊗D 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