The Higson-Roe sequence for étale groupoids. I: Dual algebras and compatibility with the BC map

DOI10.4171/JNCG/358zbMath1444.19008arXiv1801.06040MaRDI QIDQ784873

Indrava Roy, Moulay Tahar Benameur

Publication date: 3 August 2020

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

Full work available at URL: https://arxiv.org/abs/1801.06040

zbMATH Keywords

coarse geometryMorita equivalenceindex theoryBaum-Connes conjecture\(K\)-theory of \(C^*\)-algebrasHigson-Roe analytic surgery sequence

Mathematics Subject Classification ID

Ext and (K)-homology (19K33) Kasparov theory ((KK)-theory) (19K35) Noncommutative geometry (à la Connes) (58B34) Index theory (19K56)

Related Items (5)

Topological \(K\)-theory for discrete groups and index theory ⋮ An equivariant PPV theorem and Paschke-Higson duality ⋮ Interior Kasparov products for \(\varrho\)-classes on Riemannian foliated bundles ⋮ The Higson-Roe sequence for étale groupoids. II: The universal sequence for equivariant families ⋮ The adiabatic groupoid and the Higson-Roe exact sequence

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