Ergodic Theory and Dynamical Systems

Research Article

The action of inert finite-order automorphisms on finite subsystems of the shift

Mike Boylea1 and Ulf-Rainer Fiebiga2

a1 Department of Mathematics, University of Maryland, College Park, Maryland 20742, USA

a2 Institut für Angewandte Mathematik, Universität Heidelberg, Im Neuenheimer Feld 294, D-6900 Heidelberg, Germany


Let (X, S) be a shift of finite type. Let G be the group of automorphisms of (X, S) which are compositions of elements of finite order in the kernel of the dimension representation. We characterize the action of G on finite subsystems of (X, S).

(Received June 15 1989)


This work was completed while U. Fiebig held a post-doctoral position at the University of Maryland, partially funded by NSF Grant DMS-8802593.