Uniform local amenability

DOI10.4171/JNCG/128zbMath1281.46023arXiv1203.6169OpenAlexW2963421595MaRDI QIDQ355375

Graham A. Niblo, Jacek Brodzki, Rufus Willett, Ján Špakula, Nick J. Wright

Publication date: 24 July 2013

Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.6169

zbMATH Keywords

expanderproperty Acoarse embedding into a Hilbert spacegraphs with large girthmetric sparsificationoperator norm localization

Mathematics Subject Classification ID

Means on groups, semigroups, etc.; amenable groups (43A07) Embeddings of discrete metric spaces into Banach spaces; applications in topology and computer science (46B85) Geometric embeddings of metric spaces (30L05)

Related Items (17)

Coarse property C and decomposition complexity ⋮ Property A for hypergroups ⋮ Planarity can be verified by an approximate proof labeling scheme in constant-time ⋮ Expanders are counterexamples to the \(\ell^p\) coarse Baum-Connes conjecture ⋮ Almost quasi-isometries and more non-C*-exact groups ⋮ A generalization of expander graphs and local reflexivity of uniform Roe algebras ⋮ On rigidity of Roe algebras ⋮ Ghostbusting and property A ⋮ Quasi-local algebras and asymptotic expanders ⋮ Coarse amenability versus paracompactness ⋮ A metric approach to limit operators ⋮ Uniform local amenability implies Property A ⋮ Sparse graph limits along balls ⋮ Embeddings of uniform Roe algebras ⋮ Quasi-locality and property A ⋮ Coarse infinite-dimensionality of hyperspaces of finite subsets ⋮ Preserving coarse properties

Cites Work

• Coarse non-amenability and coarse embeddings
• Aperiodic Tilings, Positive Scalar Curvature, and Amenability of Spaces

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