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

^*Corresponding author for this work

Mathematics

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

1 Scopus citations

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	English (US)
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 - Apr 1 2019

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

Access to Document

10.1017/etds.2017.49

Cite this

@article{5cf7f4f36051484c9669e20960a5c728,

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",

note = "Publisher Copyright: {\textcopyright} Cambridge University Press, 2017.",

year = "2019",

month = apr,

day = "1",

doi = "10.1017/etds.2017.49",

language = "English (US)",

volume = "39",

pages = "925--929",

journal = "Ergodic Theory and Dynamical Systems",

issn = "0143-3857",

publisher = "Cambridge University Press",

number = "4",

}

TY - JOUR

T1 - Thompson's group F is not strongly amenable

AU - Hartman, Yair

AU - Juschenko, Kate

AU - Tamuz, Omer

AU - Vahidi Ferdowsi, Pooya

PY - 2019/4/1

Y1 - 2019/4/1

N2 - We show that Thompson's group has a topological action on a compact metric space that is proximal and has no fixed points.

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

UR - http://www.scopus.com/inward/record.url?scp=85021453472&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85021453472&partnerID=8YFLogxK

U2 - 10.1017/etds.2017.49

DO - 10.1017/etds.2017.49

M3 - Article

AN - SCOPUS:85021453472

SN - 0143-3857

VL - 39

SP - 925

EP - 929

JO - Ergodic Theory and Dynamical Systems

JF - Ergodic Theory and Dynamical Systems

IS - 4

ER -

Thompson's group F is not strongly amenable

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this