Realizations of groups of piecewise continuous transformations of the circle

DOI10.3934/jmd.2020003zbMath1440.37049arXiv1902.06991OpenAlexW3105025470MaRDI QIDQ1986969

Yves De Cornulier

Publication date: 9 April 2020

Published in: Journal of Modern Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.06991

zbMATH Keywords

realizabilityinterval exchange transformations1-ended groupsnear actionspiecewise continuous groups

Mathematics Subject Classification ID

Geometric group theory (20F65) Dynamical systems involving maps of the circle (37E10) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Dynamical systems involving maps of the interval (37E05) General theory of group and pseudogroup actions (22F05) Infinite automorphism groups (20B27)

Related Items (2)

Signature for piecewise continuous groups ⋮ Regularization of birational actions of FW groups

Cites Work

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• Cantor systems, piecewise translations and simple amenable groups
• Delooping classifying spaces in algebraic K-theory
• Commensurating actions for groups of piecewise continuous transformations
• Solvable groups of interval exchange transformations
• Discontinuity-growth of interval-exchange maps
• Point realizations of transformation groups
• Free groups of interval exchange transformations are rare
• Subgroup of interval exchanges generated by torsion elements and rotations
• Extensive amenability and an application to interval exchanges
• Translations of infinite subsets of a group
• Interval exchange transformations

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