Z-stability, finite dimensional tracial boundaries and continuous rank functions
Operator Algebras
2013-07-04 v3
Abstract
We observe that a recent theorem of Sato, Toms-White-Winter and Kirchberg-Rordam also holds for certain nonunital C*-algebras. Namely, we show that an algebraically simple, separable, nuclear, nonelementary C*-algebra with strict comparison, whose cone of densely finite traces has as a base a Choquet simplex with compact, finite dimensional extreme boundary, and which admits a continuous rank function, tensorially absorbs the Jiang-Su algebra Z.
Keywords
Cite
@article{arxiv.1211.7044,
title = {Z-stability, finite dimensional tracial boundaries and continuous rank functions},
author = {Bhishan Jacelon},
journal= {arXiv preprint arXiv:1211.7044},
year = {2013}
}
Comments
Minor corrections and added exposition; to appear in Muenster J. Math