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The group of
quasi-isometries of the real line cannot act effectively on
the line
Shengkui Ye and Yanxin Zhao |
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Algebraic & Geometric Topology 23 (2023) 3835–3847
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Abstract |
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We prove that the group of orientation-preserving quasi-isometries of the real line is a left-orderable, nonsimple group, which cannot act effectively on the real line . |
Keywords
quasi-isometric groups, left-orderable, real line
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Mathematical Subject Classification
Primary: 20F65
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References |
Publication
Received: 26 March 2022
Revised: 28 May 2022
Accepted: 20 June 2022
Published: 5 November 2023
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Authors |
| Shengkui Ye | |
| NYU–ECNU Institute of Mathematical
Sciences NYU Shanghai Shanghai China |
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| Yanxin Zhao | |
| Department of Pure Mathematics Xi’an Jiaotong–Liverpool University Suzhou Jiangsu China |
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| © 2023 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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