Thompson's group F is not strongly amenable

Yair Hartman; Kate Juschenko; Omer Tamuz; Pooya Vahidi Ferdowsi

doi:10.1017/etds.2017.49

Thompson's group F is not strongly amenable

Yair Hartman, Kate Juschenko, Omer Tamuz, Pooya Vahidi Ferdowsi

Research output: Contribution to journal › Article › peer-review

Abstract

We show that Thompson's group has a topological action on a compact metric space that is proximal and has no fixed points.

Original language	American English
Pages (from-to)	925-929
Number of pages	5
Journal	Ergodic Theory and Dynamical Systems
Volume	39
Issue number	4
DOIs	https://doi.org/10.1017/etds.2017.49
State	Published - 1 Apr 2019
Externally published	Yes

All Science Journal Classification (ASJC) codes

Applied Mathematics
General Mathematics

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10.1017/etds.2017.49

Cite this

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title = "Thompson's group F is not strongly amenable",

abstract = "We show that Thompson's group has a topological action on a compact metric space that is proximal and has no fixed points.",

author = "Yair Hartman and Kate Juschenko and Omer Tamuz and \{Vahidi Ferdowsi\}, Pooya",

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doi = "10.1017/etds.2017.49",

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DO - 10.1017/etds.2017.49

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JO - Ergodic Theory and Dynamical Systems

JF - Ergodic Theory and Dynamical Systems

IS - 4

ER -

Thompson's group F is not strongly amenable

Abstract

All Science Journal Classification (ASJC) codes

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