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arXiv · 1203.6169

Uniform Local Amenability

Jacek Brodzki·Graham A. Niblo·Jan Spakula·Rufus Willett·Nick J. Wright
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Abstract

The main results of this paper show that various coarse (`large scale') geometric properties are closely related. In particular, we show that property A implies the operator norm localisation property, and thus that norms of operators associated to a very large class of metric spaces can be effectively estimated. The main tool is a new property called uniform local amenability. This property is easy to negate, which we use to study some `bad' spaces. We also generalise and reprove a theorem of Nowak relating amenability and asymptotic dimension in the quantitative setting.

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BibTeXRIS

Jacek Brodzki, Graham A. Niblo, Jan Spakula, Rufus Willett, Nick J. Wright. 2012-03-28. Uniform Local Amenability. https://arxiv.org/abs/1203.6169

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