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Homogeneity of the pure state space of a separable C*-algebra

A. Kishimoto·N. Ozawa·S. Sakai
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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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A. Kishimoto, N. Ozawa, S. Sakai. 2001-10-15. Homogeneity of the pure state space of a separable C*-algebra. https://arxiv.org/abs/math/0110152

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