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\underset{α}⊗
D determines completely the subalgebra
A\underset{α}⊗
B. Relations to Effros' recent work are also discussed.
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