Finite group actions on shifts of finite type
- 1 March 1985
- journal article
- research article
- Published by Cambridge University Press (CUP) in Ergodic Theory and Dynamical Systems
- Vol. 5 (1) , 1-25
- https://doi.org/10.1017/s0143385700002728
Abstract
A continuous ℤ⊗TG 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⊗TG action on ∑A. We then classify all such actions up to ‘almost topological‘ conjugacy.Keywords
This publication has 6 references indexed in Scilit:
- An isomorphism theory for Bernoulli free Z-skew-compact group actionsAdvances in Mathematics, 1983
- On the periodic points of topological Markov chainsMathematische Zeitschrift, 1979
- Topological entropy and equivalence of dynamical systemsMemoirs of the American Mathematical Society, 1979
- Counting the relatively finite factors of a Bernoulli shiftIsrael Journal of Mathematics, 1978
- A Finitary Classification of Topological Markov Chains and Sofic SystemsBulletin of the London Mathematical Society, 1977
- Endomorphisms and automorphisms of the shift dynamical systemTheory of Computing Systems, 1969