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

  • Mike Boyle (a1) and Ulf-Rainer Fiebig (a2)

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).

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[BK] M. Boyle & W. Krieger . Periodic points and automorphisms of the shift. Trans. Amer. Math. Soc. 302 (1987), 125149.

[BLR] M. Boyle , D. Lind & D. Rudolph . The automorphism group of a subshift of finite type. Trans. Amer. Math. Soc. 306 (1988), 71114.

[W] J. Wagoner . Eventual finite order generation for the kernel of the dimension group representation. Trans. Amer. Math. Soc. 317(1) (1990), 331350.

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Ergodic Theory and Dynamical Systems
  • ISSN: 0143-3857
  • EISSN: 1469-4417
  • URL: /core/journals/ergodic-theory-and-dynamical-systems
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