The discriminant invariant of Cantor group actions

DOI10.1016/j.topol.2016.05.005zbMath1364.37065arXiv1509.06227OpenAlexW2963730551MaRDI QIDQ290618

Jessica Dyer, O. V. Lukina, Steven E. Hurder

Publication date: 3 June 2016

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.06227

zbMATH Keywords

Heisenberg groupdihedral groupCantor setdiscriminant groupEllis semigroupgroup chainnonabelian group actionodometers

Mathematics Subject Classification ID

Continua and generalizations (54F15) Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Symbolic dynamics (37B10) Fiber bundles in algebraic topology (55R10)

Related Items (17)

Wild Cantor actions ⋮ Molino theory for matchbox manifolds ⋮ Molino's description and foliated homogeneity ⋮ Prime spectrum and dynamics for nilpotent Cantor actions ⋮ Wild solenoids ⋮ Classifying matchbox manifolds ⋮ Homology of odometers ⋮ Orbit equivalence and classification of weak solenoids ⋮ Growth and homogeneity of matchbox manifolds ⋮ Measures and stabilizers of group Cantor actions ⋮ Pro-groups and generalizations of a theorem of Bing ⋮ Galois groups and Cantor actions ⋮ Arboreal Cantor actions ⋮ Manifold-like matchbox manifolds ⋮ Orbit equivalence rigidity of equicontinuous systems ⋮ Limit group invariants for non-free Cantor actions ⋮ Cantor dynamics of renormalizable groups

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