Topological Quasi-Group Shifts
Abstract
In this work we characterize those shift spaces which can support a 1-block quasi-group operation and show the analogous of Kitchens result: any such shift is conjugated to a product of a full shift with a finite shift. Moreover, we prove that every expansive automorphism on a compact zero-dimensional quasi-group that verifies the medial property, commutativity and has period 2, is isomorphic to the shift map on a product of a finite quasi-group with a full shift.
Cite
@article{arxiv.1401.3263,
title = {Topological Quasi-Group Shifts},
author = {Marcelo Sobottka},
journal= {arXiv preprint arXiv:1401.3263},
year = {2014}
}
Comments
This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Discrete and Continuous Dynamical Systems - Series A (DCDS-A), following peer review. The definitive publisher-authenticated version is available online at:\break http://www.aimsciences.org/journals/displayArticles.jsp?paperID=2044. 18 pages, 1 figure