The stabilized automorphism group of odometers and of Toeplitz subshifts

2022/11/14 by Jennifer N. Jones-Baro, Jones-Baro, Jennifer N. · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Cellular Automata and Applications #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.2211.07760

openalex publication_date 2022/11/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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• Stabilized automorphism groups and full groups of odometers

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