We study expansive invertible onesided cellular automata (i.e., expansive automorphisms of onesided full shifts) and find severe dynamical and arithmetic constraints which provide partial answers to questions raised by M. Nasu [N2]. We employ the images and bilateral dimension groups, measure multipliers, and constructive combinatorial characterizations for two classes of cellular automata.
Mike BOYLE. Alejandro MAASS. "Expansive invertible onesided cellular automata." J. Math. Soc. Japan 52 (4) 725 - 740, October, 2000. https://doi.org/10.2969/jmsj/05240725