Homogeneity of the pure state space of a separable C*-algebra
A. Kishimoto, N. Ozawa, S. Sakai
Abstract
We prove that the pure state space is homogeneous under the action of the automorphism group (or the subgroup of asymptotically inner automorphisms) for all the separable simple C*-algebras. The first result of this kind was shown by Powers for the UHF algebras some 30 years ago.
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