Orbit equivalence and classification of weak solenoids

DOI10.1512/iumj.2020.69.8076zbMath1460.37026arXiv1803.02098OpenAlexW3111627540MaRDI QIDQ5150885

O. V. Lukina, Steven E. Hurder

Publication date: 15 February 2021

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.02098

zbMATH Keywords

topological full groupcontinuous orbit equivalencereturn equivalenceminimal Cantor actionsweak solenoidsHausdorff groupoidstopologically free actions

Mathematics Subject Classification ID

Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Continua theory in dynamics (37B45) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05)

Related Items (8)

Prime spectrum and dynamics for nilpotent Cantor actions ⋮ Low-dimensional solenoidal manifolds ⋮ Nilpotent Cantor actions ⋮ Measures and stabilizers of group Cantor actions ⋮ Pro-groups and generalizations of a theorem of Bing ⋮ Arboreal Cantor actions ⋮ Limit group invariants for non-free Cantor actions ⋮ Cantor dynamics of renormalizable groups

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