Property A for coarse spaces
Metric Geometry
2013-03-29 v1 Operator Algebras
Abstract
Property A introduced by Guoliang Yu is an amenability-type property for metric spaces. In this article, we study property A for uniformly locally finite coarse spaces. Main examples of coarse spaces are a metric space, a set equipped with a discrete group action, and a sequence of finitely generated groups. The purpose of this article is to give complete proofs to related basic facts.
Cite
@article{arxiv.1303.7027,
title = {Property A for coarse spaces},
author = {Hiroki Sako},
journal= {arXiv preprint arXiv:1303.7027},
year = {2013}
}
Comments
11 pages. We give proofs for basic facts, which have been omitted in arXiv:1212.5900