Fixed Point Shifts of Inert Involutions

@inproceedings{Long2009FixedPS,
  title={Fixed Point Shifts of Inert Involutions},
  author={Nicholas Long and Stephen F. Austin},
  year={2009}
}
Given a mixing shift of finite type X , we consider which subshifts of finite type Y ⊂ X can be realized as the fixed point shift of an inert involution of X . We establish a condition on the periodic points of X and Y that is necessary for Y to be the fixed point shift of an inert involution of X . We show that this condition is sufficient to realize Y as the fixed point shift of an involution, up to shift equivalence on X , if X is a shift of finite type with Artin-Mazur zeta function… CONTINUE READING
1 Citations
22 References
Similar Papers

Citations

Publications citing this paper.

References

Publications referenced by this paper.
Showing 1-10 of 22 references

Periodic points and finite group actions on shifts of finite type

  • U. Fiebig
  • Ergodic Theory Dynam. Systems, 13
  • 1993
Highly Influential
8 Excerpts

On the structure of inert automorphisms of subshifts

  • K. H. Kim, F. W. Roush
  • Pure Math. Appl. Ser. B, 2
  • 1991
Highly Influential
5 Excerpts

Topological conjugacy for sofic systems and extensions of automorphisms of finite subsystems of topological Markov shifts

  • M. Nasu
  • Proceedings of Maryland Special Year in Dynamics…
  • 1988
Highly Influential
2 Excerpts

Involutions of Shifts of Finite Type: Fixed Point Shifts, Orbit Quotients, and the Dimension Representation

  • N. Long
  • Ph.D. Thesis. Univ. of Maryland,
  • 2008
1 Excerpt

Ergodic Theory of equivariant diffeomorphisms: Markov partitions and Stable Ergodicity

  • M. J. Field, M. Nicol
  • Memoirs AMS, 169
  • 2004
1 Excerpt

Free Zp actions on subshifts

  • K. H. Kim, F. W. Roush
  • Pure Math. Appl., 8
  • 1997
2 Excerpts

Similar Papers

Loading similar papers…