Published May 2019
| Submitted
Journal Article
Open
Normal amenable subgroups of the automorphism group of the full shift
- Creators
- Frisch, Joshua
- Schlank, Tomer
- Tamuz, Omer
Abstract
We show that every normal amenable subgroup of the automorphism group of the full shift is contained in its center. This follows from the analysis of this group's Furstenberg topological boundary, through the construction of a minimal and strongly proximal action. We extend this result to higher dimensional full shifts. This also provides a new proof of Ryan's theorem and of the fact that these groups contain free groups.
Additional Information
© 2017 Cambridge University Press. Received 5 January 2017 and accepted in revised form 26 June 2017. This research was partially conducted at Microsoft Research, New England.Attached Files
Submitted - 1512.00587.pdf
Submitted - 1512.00587v2.pdf
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1512.00587v2.pdf
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Additional details
- Eprint ID
- 71955
- Resolver ID
- CaltechAUTHORS:20161111-133444186
- Created
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2016-11-16Created from EPrint's datestamp field
- Updated
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2021-11-11Created from EPrint's last_modified field