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

Hiroki Sako 1
  • 1 Research Institute for Mathematical Sciences, Kyoto University, Kyoto 606-8502, Japan


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.

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The Journal für die reine und angewandte Mathematik is the oldest mathematics periodical still in existence. Founded in 1826 by August Leopold Crelle and edited by him until his death in 1855, it soon became widely known under the name of Crelle’s Journal. In the 190 years of its existence, Crelle’s Journal has developed to an outstanding scholarly periodical with one of the worldwide largest circulations among mathematics journals.