Property A and the operator norm localization property for discrete metric spaces

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.

10 pages. In this revised version, we make comments on two other coarse geometric properties defined by Brodzki, Niblo, Spakula, Willett, and Wright

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