Topological Properties of Spaces of Ideals of the Minimal Tensor Product
نویسنده
چکیده
One shows that for two C-algebras A1 and A2 any continuous function on Prim(A1)×Prim(A2) can be continuously extended to Prim(A1⊗min A2) provided it takes its values in a T1 topological space. This generalizes [5, Corollary 3.4]. A new proof is given for a result of Archbold [2] about the space of minimal primal ideals of A1 ⊗min A2. To obtain these two results one makes use of the topological properties of the space of prime ideals of the tensor product.
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تاریخ انتشار 2009