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

Published online by Cambridge University Press:  19 September 2008

Mike Boyle  and
Ulf-Rainer Fiebig
Mike Boyle
Affiliation:
Department of Mathematics, University of Maryland, College Park, Maryland 20742, USA
Ulf-Rainer Fiebig
Affiliation:
Institut für Angewandte Mathematik, Universität Heidelberg, Im Neuenheimer Feld 294, D-6900 Heidelberg, Germany
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Abstract

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).

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 11 , Issue 3 , September 1991 , pp. 413 - 425
Copyright
Copyright © Cambridge University Press 1991

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References

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