The group of quasi-isometries of the real line cannot act effectively on the line

DOI10.2140/agt.2023.23.3835zbMath1529.20080arXiv2202.04911OpenAlexW4388526298MaRDI QIDQ6091934

Sheng Kui Ye, Yanxin Zhao

Publication date: 21 November 2023

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.04911

zbMATH Keywords

real linequasi-isometry groupsleft-orderablility

Mathematics Subject Classification ID

Geometric group theory (20F65)

Cites Work

• Unnamed Item
• Actions of groups of homeomorphisms on one-manifolds
• On the dynamics of (left) orderable groups.
• Left-orderable groups that don't act on the line
• There are no exotic actions of diffeomorphism groups on 1-manifolds
• On homeomorphisms and quasi-isometries of the real line
• Numerical Invariants for Semiconjugacy of Homeomorphisms of the Circle

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