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Thompson’s group $F$ is not strongly amenable

Published online by Cambridge University Press:  28 June 2017

YAIR HARTMAN ,
KATE JUSCHENKO ,
OMER TAMUZ  and
POOYA VAHIDI FERDOWSI
YAIR HARTMAN
Affiliation:
Department of Mathematics, Northwestern University, Evanston, IL 60208, USA
KATE JUSCHENKO
Affiliation:
Department of Mathematics, Northwestern University, Evanston, IL 60208, USA
OMER TAMUZ
Affiliation:
Department of Mathematics, California Institute of Technology, Pasadena, CA 91125, USA email omertamuz@gmail.com
POOYA VAHIDI FERDOWSI
Affiliation:
Department of Mathematics, California Institute of Technology, Pasadena, CA 91125, USA email omertamuz@gmail.com
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Abstract

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

Type
Original Article
Information
Ergodic Theory and Dynamical Systems , Volume 39 , Issue 4 , April 2019 , pp. 925 - 929
Copyright
© Cambridge University Press, 2017 

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