# Nuclear dimension and $\mathcal{Z}$-stability of pure C∗-algebras

@article{Winter2012NuclearDA,
title={Nuclear dimension and \$\mathcal\{Z\}\$-stability of pure C∗-algebras},
author={Wilhelm Winter},
journal={Inventiones mathematicae},
year={2012},
volume={187},
pages={259-342}
}
• W. Winter
• Published 1 February 2012
• Mathematics
• Inventiones mathematicae

### Dimension functions on simpleC*-algebras

In order to make available for C*-atgebras the results of Goodearl and Handelman [5] on existence and uniqueness of rank functions on regular rings, we associate in the present note with every