A Baum-Connes conjecture for singular foliations

DOI10.2140/akt.2019.4.561zbMath1437.19002arXiv1509.05862OpenAlexW3098185761MaRDI QIDQ2286560

Georges Skandalis, Iakovos Androulidakis

Publication date: 22 January 2020

Published in: Annals of \(K\)-Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.05862

zbMATH Keywords

\(K\)-theoryLie groupoidindex theorymapping telescoperelative assembly mapBaum-Connes assembly map

Mathematics Subject Classification ID

Noncommutative differential geometry (46L87) Exotic index theories on manifolds (58J22) Foliations (differential geometric aspects) (53C12) Kasparov theory ((KK)-theory) (19K35) Topological groupoids (including differentiable and Lie groupoids) (22A22) Index theory (19K56)

Related Items (8)

Equivariant \(KK\)-theory for non-Hausdorff groupoids ⋮ The extension of cochain complexes of meromorphic functions to multiplications ⋮ On symmetries of singular foliations ⋮ Interior Kasparov products for \(\varrho\)-classes on Riemannian foliated bundles ⋮ The universal Lie \(\infty\)-algebroid of a singular foliation ⋮ Hierarchies of holonomy groupoids for foliated bundles ⋮ The holonomy groupoids of singularly foliated bundles ⋮ The Godbillon-Vey invariant and equivariant \(KK\)-theory

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