Nuclear dimension of simple stably projectionless C*-algebras
Operator Algebras
2020-11-18 v4
Abstract
We prove that Z-stable, simple, separable, nuclear, non-unital C*-algebras have nuclear dimension at most 1. This completes the equivalence between finite nuclear dimension and Z-stability for simple, separable, nuclear, non-elementary C*-algebras.
Cite
@article{arxiv.1901.11441,
title = {Nuclear dimension of simple stably projectionless C*-algebras},
author = {Jorge Castillejos and Samuel Evington},
journal= {arXiv preprint arXiv:1901.11441},
year = {2020}
}
Comments
40 pages. Fixed a typo in the statement of Theorem 2.7. Analysis & PDE, to appear