Low‐dimensional properties of uniform Roe algebras

DOI10.1112/jlms.12100zbMath1436.46055arXiv1705.01290OpenAlexW3123284372MaRDI QIDQ4608162

Rufus Willett, Kang Li

Publication date: 16 March 2018

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.01290

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Asymptotic properties of groups (20F69) Dimension theory in algebraic topology (55M10)

Related Items (11)

The type semigroup, comparison, and almost finiteness for ample groupoids ⋮ A quasi-local characterisation of \(L^{p}\)-Roe algebras ⋮ Amenability and paradoxicality in semigroups and \(C^\ast\)-algebras ⋮ Embeddings of von Neumann algebras into uniform Roe algebras and quasi-local algebras ⋮ Strict comparison for \(C^*\)-algebras arising from almost finite groupoids ⋮ Mapping graph homology to \(K\)-theory of Roe algebras ⋮ On the rigidity of uniform Roe algebras over uniformly locally finite coarse spaces ⋮ Quasi-local algebras and asymptotic expanders ⋮ Structure and \(K\)-theory of \(\ell^p\) uniform Roe algebras ⋮ \(L^p\) coarse Baum-Connes conjecture and \(K\)-theory for \(L^p\) Roe algebras ⋮ Uniform Roe algebras of uniformly locally finite metric spaces are rigid

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