Ample groupoids: equivalence, homology, and Matui's HK conjecture

DOI10.17879/53149724091zbMath1443.46030arXiv1808.07807MaRDI QIDQ5213273

Aidan Sims, Carla Farsi, David Pask, Alexander Kumjian

Publication date: 31 January 2020

Full work available at URL: https://arxiv.org/abs/1808.07807

zbMATH Keywords

homologyHK conjectureample Hausdorff groupoids

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Topological groupoids (including differentiable and Lie groupoids) (22A22) Homology and cohomology theories in algebraic topology (55N99)

Related Items (13)

The type semigroup, comparison, and almost finiteness for ample groupoids ⋮ Homology andK-theory of dynamical systems I. Torsion-free ample groupoids ⋮ Matui's AH conjecture for graph groupoids ⋮ A counterexample to the HK-conjecture that is principal ⋮ Long exact sequences of homology groups of étale groupoids ⋮ Dynamic asymptotic dimension and Matui's HK conjecture ⋮ Higher dimensional generalizations of the Thompson groups via higher rank graphs ⋮ Homology of odometers ⋮ The homology of the Katsura-Exel-Pardo groupoid ⋮ HOMOLOGY AND MATUI’S HK CONJECTURE FOR GROUPOIDS ON ONE-DIMENSIONAL SOLENOIDS ⋮ On groupoids and \(C^*\)-algebras from self-similar actions ⋮ Homology and AH conjecture for groupoids on one-dimensional solenoids ⋮ Katsura–Exel–Pardo groupoids and the AH conjecture

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