Characterizing classifiable AH algebras
Operator Algebras
2011-02-07 v1
Abstract
We observe almost divisibility for the original Cuntz semigroup of a simple AH algebra with strict comparison. As a consequence, the properties of strict comparison, finite nuclear dimension, and Z-stability are equivalent for such algebras, confirming partially a conjecture of Winter and the author.
Cite
@article{arxiv.1102.0932,
title = {Characterizing classifiable AH algebras},
author = {Andrew S. Toms},
journal= {arXiv preprint arXiv:1102.0932},
year = {2011}
}
Comments
3 pages, closes a gap in the proof of Theorem 1.2, arXiv:0910.2061