Strict comparison and Z-absorption of nuclear C*-algebras
Operator Algebras
2011-11-08 v1
Abstract
For any unital separable simple infinite-dimensional nuclear C*-algebra with finitely many extremal traces, we prove that Z-absorption, strict comparison, and property (SI) are equivalent. We also show that any unital separable simple nuclear C*-algebra with tracial rank zero is approximately divisible, and hence is Z-absorbing.
Keywords
Cite
@article{arxiv.1111.1637,
title = {Strict comparison and Z-absorption of nuclear C*-algebras},
author = {Hiroki Matui and Yasuhiko Sato},
journal= {arXiv preprint arXiv:1111.1637},
year = {2011}
}
Comments
14 pages