$G$-odometers and their almost 1-1 extensions

M. I. Cortez; S. Petite

doi:10.1112/jlms/jdn002

$G$-odometers and their almost 1-1 extensions

Dynamical Systems 2014-02-26 v1

Authors: M. I. Cortez , S. Petite

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Abstract

In this paper we recall the concepts of $G$ -odometer and $G$ -subodometer for $G$ -actions, where $G$ is a discrete finitely generated group, which generalize the notion of odometer in the case $G=\ZZ$ . We characterize the $G$ -regularly recurrent systems as the minimal almost 1-1 extensions of subodometers, from which we deduce that the family of the $G$ -Toeplitz subshifts coincides with the family of the minimal symbolic almost 1-1 extensions of subodometers.

Cite

@article{arxiv.math/0604492,
  title  = {$G$-odometers and their almost 1-1 extensions},
  author = {M. I. Cortez and S. Petite},
  journal= {arXiv preprint arXiv:math/0604492},
  year   = {2014}
}

Comments

18 pages

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