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Normal amenable subgroups of the automorphism group of the full shift

ERGODIC THEORY AND DYNAMICAL SYSTEMS, (2019): 1290-1298

Cited by: 4|Views9

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...More

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Author
J Frisch
J Frisch
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