Finite group actions on shifts of finite type

Abstract

A continuous [formula omitted] action on a subshift of finite type consists of a subshift of finite type with its shift transformation, together with a group, G, of homeomorphisms of the subshift and a group automorphism T, so that the commutation relation σ ° g = Tg ° ∑A is any positive entropy subshift of finite type, G is any finite group and T is any automorphism of G then there is a non-trivial [formula omitted] action on ∑A. We then classify all such actions up to ‘almost topological‘ conjugacy. © 1985, Cambridge University Press. All rights reserved.