A going-down principle for ample groupoids and the Baum-Connes conjecture

DOI10.1016/j.aim.2020.107314zbMath1451.19016arXiv1806.00391OpenAlexW2806666926WikidataQ123219188 ScholiaQ123219188MaRDI QIDQ783227

Christian Bönicke

Publication date: 11 August 2020

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.00391

zbMATH Keywords

étale groupoidBaum-Connes conjectureequivariant Kasparov theoryinduction-restriction adjunction

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Kasparov theory ((KK)-theory) (19K35) Topological groupoids (including differentiable and Lie groupoids) (22A22)

Related Items (4)

Homology andK-theory of dynamical systems I. Torsion-free ample groupoids ⋮ Groupoids decomposition, propagation and operator \(K\)-theory ⋮ Dynamic asymptotic dimension and Matui's HK conjecture ⋮ K-theory and homotopies of twists on ample groupoids

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