The homology of the Katsura-Exel-Pardo groupoid

DOI10.4171/JNCG/382zbMath1479.46080arXiv1806.09297MaRDI QIDQ2032771

Eduardo Ortega

Publication date: 14 June 2021

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

Full work available at URL: https://arxiv.org/abs/1806.09297

zbMATH Keywords

Cantor sethomologygroupoidmatrix$K$-theory$C^*$-algebra

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Noncommutative dynamical systems (46L55) Topological groupoids (including differentiable and Lie groupoids) (22A22) Dynamical systems and the theory of (C^*)-algebras (37A55)

Related Items

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 ⋮ Topological full groups of ample groupoids with applications to graph algebras ⋮ 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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