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

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

2001-04-27

arxiv.org/abs/math/0104257v1

Mathematics

Operator Algebras

33 pages. To be published in Internatinal J. Math

Scientific paper

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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