Homegeneity of the pure state space for separable C*-algebras
Operator Algebras
2007-05-23 v1
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.
Keywords
Cite
@article{arxiv.math/0104257,
title = {Homegeneity of the pure state space for separable C*-algebras},
author = {H. Futamura and N. Kataoka and A. Kishimoto},
journal= {arXiv preprint arXiv:math/0104257},
year = {2007}
}
Comments
33 pages. To be published in Internatinal J. Math