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Thompson's group F is not strongly amenable

Hartman, Yair and Juschenko, Kate and Tamuz, Omer and Vahidi Ferdowsi, Pooya (2019) Thompson's group F is not strongly amenable. Ergodic Theory and Dynamical Systems, 39 (4). pp. 925-929. ISSN 0143-3857. https://resolver.caltech.edu/CaltechAUTHORS:20161111-131006027

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Abstract

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


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1017/etds.2017.49DOIArticle
https://arxiv.org/abs/1607.04915arXivDiscussion Paper
ORCID:
AuthorORCID
Tamuz, Omer0000-0002-0111-0418
Additional Information:© 2017 Cambridge University Press. Received 5 August 2016 and accepted in revised form 26 April 2017. The authors would like to thank Eli Glasner and Benjamin Weiss for enlightening and encouraging conversations.
Issue or Number:4
Record Number:CaltechAUTHORS:20161111-131006027
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20161111-131006027
Official Citation:HARTMAN, Y., JUSCHENKO, K., TAMUZ, O., & VAHIDI FERDOWSI, P. (2019). Thompson’s group F is not strongly amenable. Ergodic Theory and Dynamical Systems, 39(4), 925-929. doi:10.1017/etds.2017.49
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:71953
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:16 Nov 2016 00:44
Last Modified:03 Oct 2019 16:12

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