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Homegeneity of the pure state space for separable C*-algebras

H. Futamura·N. Kataoka·A. Kishimoto
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Abstract

We prove that the pure state space is homogeneous under the action of the automorphism group (or a certain smaller group of approximately inner automorphisms) for a fairly large class of simple separable nuclear C*-algebras, including the approximately homogeneous C*-algebras and the class of purely infinite C*-algebras which has been recently classified by Kirchberg and Phillips. This extends the known results for UHF algebras and AF algebras by Powers and Bratteli.

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H. Futamura, N. Kataoka, A. Kishimoto. 2001-04-27. Homegeneity of the pure state space for separable C*-algebras. https://arxiv.org/abs/math/0104257

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