Homogeneity of the pure state space for the separable nuclear C*-algebras
Operator Algebras
2016-09-07 v1
Abstract
We prove that the pure state space is homogeneous under the action of the group of asymptotically inner automorphisms for all the separable simple nuclear C*-algebras. If simplicity is not assumed for the C*-algebras, the set of pure states whose GNS representations are faithful is homogeneous for the above action.
Keywords
Cite
@article{arxiv.math/0104258,
title = {Homogeneity of the pure state space for the separable nuclear C*-algebras},
author = {A. Kishimoto and S. Sakai},
journal= {arXiv preprint arXiv:math/0104258},
year = {2016}
}
Comments
16 pages