Controlled \(K\)-theory for groupoids \& applications to coarse geometry

DOI10.1016/j.jfa.2018.02.005zbMath1405.46051arXiv1710.06099OpenAlexW2963491079MaRDI QIDQ1653295

Clément Dell'Aiera

Publication date: 3 August 2018

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.06099

zbMATH Keywords

\(K\)-theorygroupoid\(C^*\)-algebrascoarse geometrycrossed product\(KK\)-theoryBaum-Connes conjecture

Mathematics Subject Classification ID

Noncommutative topology (46L85) (K)-theory and operator algebras (including cyclic theory) (46L80) Noncommutative dynamical systems (46L55) Kasparov theory ((KK)-theory) (19K35) Topological groupoids (including differentiable and Lie groupoids) (22A22)

Related Items (7)

Controlled \(K\)-theory for groupoids \& applications to coarse geometry ⋮ Groupoids decomposition, propagation and operator \(K\)-theory ⋮ The equivariant coarse Novikov conjecture and coarse embedding ⋮ Persistence approximation property for maximal Roe algebras ⋮ Quantitative \(K\)-theory and the Künneth formula for operator algebras ⋮ \(L^p\) coarse Baum-Connes conjecture and \(K\)-theory for \(L^p\) Roe algebras ⋮ Going-down functors and the Künneth formula for crossed products by étale groupoids

Cites Work

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• Controlled \(K\)-theory for groupoids \& applications to coarse geometry
• The coarse Baum-Connes conjecture for spaces which admit a uniform embedding into Hilbert space
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