Finite group actions on shifts of finite type
Roy L. Adler, Bruce Kitchens, Brian H. Marcus · Ergodic Theory and Dynamical Systems · 1985
Abstract A continuous ℤ⊗ T G 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 ℤ⊗ T G action on ∑ A . We then classify all such actions up to ‘almost topological‘ conjugacy.