%0 Journal Article
%T Topological properties of spaces of ideals of the minimal tensor product
%A Aldo J. Lazar
%J Mathematics
%D 2009
%I arXiv
%X One shows that for two C^*-algebras A_1 and A_2 any continuous function on Prim(A_1)\times Prim(A_2) can be continuously extended to Prim(A_1\otimes A_2) provided it takes its values in a T_1 topological space. This generalizes a 1977 result of L.G. Brown. A new proof is given for a result of R.J. Archbold about the space of minimal primal ideals of A_1\otimes A_2. To obtain these two results one makes use of the topological properties of the space of prime ideals of the minimal tensor product.
%U http://arxiv.org/abs/0906.2896v1