Prime spectrum and dynamics for nilpotent Cantor actions

DOI10.2140/pjm.2023.327.107arXiv2305.00896MaRDI QIDQ6120758

Steven E. Hurder, O. V. Lukina

Publication date: 21 February 2024

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2305.00896

zbMATH Keywords

Heisenberg groupprofinite groupsodometersSteinitz numbersCantor 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) Limits, profinite groups (20E18) Compact groups of homeomorphisms (57S10)

Cites Work

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• Homogeneous weak solenoids
• Wild solenoids
• Continuous orbit equivalence rigidity
• The classification problem for torsion-free abelian groups of finite rank
• Limit group invariants for non-free Cantor actions
• Orbit equivalence and classification of weak solenoids
• Nilpotent Cantor actions

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