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

By Hiroki Sako. 2012

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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.

Subfields: Computational Theory and Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/54b1f97bfe679aa4ce3d3c22e706fbb21fbc8df0