Amenability of coarse spaces and \(\mathbb {K}\)-algebras

DOI10.1007/s13373-017-0109-6zbMath1427.16020arXiv1607.00328OpenAlexW2888924994WikidataQ59602765 ScholiaQ59602765MaRDI QIDQ1656839

Jianchao Wu, Pere Ara, Kang Li, Fernando Lledó

Publication date: 10 August 2018

Published in: Bulletin of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.00328

zbMATH Keywords

amenabilityparadoxical decompositionsLeavitt path algebrascoarse spacesFølner netstranslation algebrasunital \(\mathbb {K}\)-algebras

Mathematics Subject Classification ID

Growth rate, Gelfand-Kirillov dimension (16P90) Geometric group theory (20F65) General groups of measure-preserving transformations and dynamical systems (37A15) Associative rings and algebras arising under various constructions (16S99) Leavitt path algebras (16S88)

Related Items

The type semigroup, comparison, and almost finiteness for ample groupoids ⋮ The uniform Roe algebra of an inverse semigroup ⋮ Amenability and paradoxicality in semigroups and \(C^\ast\)-algebras ⋮ Sylvester rank functions for amenable normal extensions ⋮ Ideal structure and pure infiniteness of ample groupoid -algebras ⋮ Structure and \(K\)-theory of \(\ell^p\) uniform Roe algebras ⋮ Representations of Leavitt path algebras ⋮ A note on commutation relations and finite dimensional approximations

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