Amenability and uniform Roe algebras

DOI10.1016/j.jmaa.2017.10.063zbMath1393.46038arXiv1706.04875OpenAlexW2625949427MaRDI QIDQ1684783

Pere Ara, Fernando Lledó, Jianchao Wu, Kang Li

Publication date: 12 December 2017

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.04875

zbMATH Keywords

amenabilitytracesuniform Roe algebrascoarse spaceFølner conditionssemi-pre-\(C^\ast\)-algebra

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)

Related Items

The type semigroup, comparison, and almost finiteness for ample groupoids ⋮ A quasi-local characterisation of \(L^{p}\)-Roe algebras ⋮ Amenability of coarse spaces and \(\mathbb {K}\)-algebras ⋮ The uniform Roe algebra of an inverse semigroup ⋮ Amenability and paradoxicality in semigroups and \(C^\ast\)-algebras ⋮ On topological obstructions to the existence of non-periodic Wannier bases ⋮ On Kuiper type theorems for uniform Roe algebras ⋮ Quasi-local algebras and asymptotic expanders ⋮ Ideal structure and pure infiniteness of ample groupoid -algebras ⋮ Structure and \(K\)-theory of \(\ell^p\) uniform Roe algebras ⋮ A note on commutation relations and finite dimensional approximations

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