There are no exotic actions of diffeomorphism groups on 1-manifolds

DOI10.4171/GGD/658WikidataQ120706042 ScholiaQ120706042MaRDI QIDQ2694825

Lei Chen, Kathryn Mann

Publication date: 4 April 2023

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.07452

zbMATH Keywords

homeomorphism groupsdiffeomorphism groupsgroup actions on a circle

Mathematics Subject Classification ID

Transformation groups and semigroups (topological aspects) (54H15) Dynamical systems involving maps of the circle (37E10) Group actions on manifolds and cell complexes in low dimensions (57M60) Topological properties of groups of homeomorphisms or diffeomorphisms (57S05)

Related Items (1)

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

Cites Work

• Unnamed Item
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• Automatic Continuity of Group Homomorphisms
• Foliations and groups of diffeomorphisms
• Every reasonably sized matrix group is a subgroup of $S_∞$
• Actions of groups of diffeomorphisms on one-manifolds by $C^1$ diffeomorphisms
• Infinite products of finite simple groups II
• A topological view of ordered groups
• Homomorphisms between diffeomorphism groups
• A Note on Group Rings of Certain Torsion-Free Groups

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