Katsura–Exel–Pardo groupoids and the AH conjecture

DOI10.1112/jlms.12496OpenAlexW3194284311WikidataQ113788553 ScholiaQ113788553MaRDI QIDQ5874024

Petter Nyland, Eduardo Ortega

Publication date: 10 February 2023

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.06638

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) (K)-theory and homology; cyclic homology and cohomology (19D55) Other groups related to topology or analysis (20F38) Topological groupoids (including differentiable and Lie groupoids) (22A22)

Related Items (1)

Homology and AH conjecture for groupoids on one-dimensional solenoids

Cites Work

• Étale groupoids arising from products of shifts of finite type
• Topological full groups of one-sided shifts of finite type
• Self-similar graphs, a unified treatment of Katsura and Nekrashevych \(C^\ast\)-algebras
• The homology of the Katsura-Exel-Pardo groupoid
• A class of \(C^{*}\)-algebras generalizing both graph algebras and homeomorphism \(C^{*}\)-algebras. IV: Pure infiniteness
• Matui's AH conjecture for graph groupoids
• Homology and topological full groups of étale groupoids on totally disconnected spaces
• Homology of odometers
• A construction of actions on Kirchberg algebras which induce given actions on their K-groups
• C*-algebras and self-similar groups
• Simple groups of dynamical origin
• Ample groupoids: equivalence, homology, and Matui's HK conjecture
• Finitely presented groups associated with expanding maps

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