Geodesic
The group of quasi-isometries of the real line cannot act effectively on the line
Ye, Shengkui1 ; Zhao, Yanxin2
1 NYU–ECNU Institute of Mathematical Sciences, NYU Shanghai, Shanghai, China
2 Department of Pure Mathematics, Xi’an Jiaotong–Liverpool University, Suzhou, Jiangsu, China
Algebraic and Geometric Topology, Tome 23 (2023) no. 8, pp. 3835-3847

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

We prove that the group QI ⁡ +(ℝ) of orientation-preserving quasi-isometries of the real line is a left-orderable, nonsimple group, which cannot act effectively on the real line ℝ.

DOI : 10.2140/agt.2023.23.3835
Keywords: quasi-isometric groups, left-orderable, real line

Ye, Shengkui 1 ; Zhao, Yanxin 2

1 NYU–ECNU Institute of Mathematical Sciences, NYU Shanghai, Shanghai, China
2 Department of Pure Mathematics, Xi’an Jiaotong–Liverpool University, Suzhou, Jiangsu, China 
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Ye, Shengkui; Zhao, Yanxin. The group of quasi-isometries of the real line cannot act effectively on the line. Algebraic and Geometric Topology, Tome 23 (2023) no. 8, pp. 3835-3847. doi: 10.2140/agt.2023.23.3835

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