Homogeneity of the pure state space of a separable C*-algebra
Operator Algebras
2007-05-23 v1
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.
Keywords
Cite
@article{arxiv.math/0110152,
title = {Homogeneity of the pure state space of a separable C*-algebra},
author = {A. Kishimoto and N. Ozawa and S. Sakai},
journal= {arXiv preprint arXiv:math/0110152},
year = {2007}
}
Comments
This generalizes and replaces the paper(math.OA/0104258) with a similar title by A. Kishimoto and S. Sakai