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

Author

Ye, Shengkui and Zhao, Yanxin

Subjects
Mathematics - Geometric Topology, Mathematics - Dynamical Systems, Mathematics - Group Theory
Abstract

We prove that the group $\mathrm{QI}^{+}(\mathbb{R})$ of orientation-preserving quasi-isometries of the real line is a left-orderable, non-simple group, which cannot act effectively on the real line $\mathbb{R}.$, Comment: Minor changes; final version, to appear in Algebraic and Geometric Topology

Published
2022
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