Property A and the operator norm localization property for discrete metric spaces
Metric Geometry
2014-08-07 v2 Operator Algebras
Abstract
We study property A defined by G. Yu and the operator norm localization property defined by X. Chen, R. Tessera, X. Wang, and G. Yu. These are coarse geometric properties for metric spaces which have applications to operator K-theory. It is proved that the two properties are equivalent for discrete metric spaces with bounded geometry.
Keywords
Cite
@article{arxiv.1203.5496,
title = {Property A and the operator norm localization property for discrete metric spaces},
author = {Hiroki Sako},
journal= {arXiv preprint arXiv:1203.5496},
year = {2014}
}
Comments
10 pages. In this revised version, we make comments on two other coarse geometric properties defined by Brodzki, Niblo, Spakula, Willett, and Wright