The Space of Ideals in the Minimal Tensor Product of C-algebras
نویسنده
چکیده
For C-algebras A1, A2 the map (I1, I2) → ker(qI1 ⊗ qI2) from Id′(A1) × Id ′(A2) into Id ′(A1 ⊗min A2) is a homeomorphism onto its image which is dense in the range. Here, for a C-algebra A, the space of all proper closed two sided ideals endowed with an adequate topology is denoted Id(A) and qI is the quotient map of A onto A/I. New proofs of the equivalence of the property (F) of Tomiyama for A1 ⊗min A2 with certain other properties are presented.
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