The stabilized automorphism group of odometers and of Toeplitz subshifts

Jennifer N. Jones-Baro

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The stabilized automorphism group of odometers and of Toeplitz subshifts

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arxiv 2211.07760 v2 pith:7ANOFT5E submitted 2022-11-14 math.DS

Jennifer N. Jones-Baro This is my paper · ORCID

classification math.DS

keywords automorphismgroupstabilizedodometerssubshiftstoeplitzcasecharacterize

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We characterize the stabilized automorphism group for odometers and Toeplitz subshifts and then prove an invariance property of the stabilized automorphism group of these dynamical systems. A particular case of interest is that for torsion free odometers the stabilized automorphism group is a full isomorphism invariant.

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