G-odometers and their almost 1-1 extensions
M. I. Cortez, S. Petite
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=. 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.
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