2013/03/28 by Hiroki Sako, Sako, Hiroki
Mathematics · #20F65 #46L05 #51F99 #Advanced Banach Space Theory #Advanced Operator Algebra Research #FOS: Mathematics #Holomorphic and Operator Theory #Metric Geometry (math.MG) #Operator Algebras (math.OA)
paper · pdf · doi:10.48550/arxiv.1303.7027
openalex publication_date 2013/03/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.