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Property A and the operator norm localization property for discrete metric spaces
Published/Copyright:
July 17, 2012
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.
Funding source: Japan Society for the Promotion of Science
Award Identifier / Grant number: Research Fellowship
We thank Professor Ozawa for letting us know the paper [`Quasi-invariant means and Zimmer amenability', preprint 2011].
Received: 2012-3-26
Published Online: 2012-7-17
Published in Print: 2014-5-1
© 2014 by Walter de Gruyter Berlin/Boston
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Articles in the same Issue
- Frontmatter
- UC hierarchy and monodromy preserving deformation
- Vector-valued p-adic Siegel modular forms
- K-theoretic Schubert calculus for OG(n,2n+1) and jeu de taquin for shifted increasing tableaux
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Strichartz estimates for partially periodic solutions to Schrödinger equations in
- Inverse tunneling estimates and applications to the study of spectral statistics of random operators on the real line
- Mean curvature flow of entire graphs in a half-space with a free boundary
- Ricci flow and the holonomy group
- Uniqueness of compact tangent flows in Mean Curvature Flow
- Even unimodular Lorentzian lattices and hyperbolic volume
- Algebraic points on Shimura curves of Γ0(p)-type
- Errata to Algebraic points on Shimura curves of Γ0(p)-type (J. reine angew. Math., DOI 10.1515/crelle-2012-0068)
- Property A and the operator norm localization property for discrete metric spaces
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