Normal amenable subgroups of the automorphism group of the full shift

Joshua Frisch, Tomer Schlank, Omer Tamuz

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

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.

Original languageAmerican English
Pages (from-to)1290-1298
Number of pages9
JournalErgodic Theory and Dynamical Systems
Volume39
Issue number5
DOIs
StatePublished - 1 May 2019

Bibliographical note

Publisher Copyright:
© 2017 Cambridge University Press.

Fingerprint

Dive into the research topics of 'Normal amenable subgroups of the automorphism group of the full shift'. Together they form a unique fingerprint.

Cite this