Generators in $\mathcal{Z}$-stable C*-algebras of real rank zero
Operator Algebras
2020-12-14 v2
Abstract
We show that every separable C*-algebra of real rank zero that tensorially absorbs the Jiang-Su algebra contains a dense set of generators. It follows that in every classifiable, simple, nuclear C*-algebra, a generic element is a generator.
Keywords
Cite
@article{arxiv.2006.08404,
title = {Generators in $\mathcal{Z}$-stable C*-algebras of real rank zero},
author = {Hannes Thiel},
journal= {arXiv preprint arXiv:2006.08404},
year = {2020}
}
Comments
18 pages; to appear in J. Noncommut. Geom