Fixed Point Shifts of Inert Involutions

  title={Fixed Point Shifts of Inert Involutions},
  author={Nicholas Long and Stephen F. Austin},
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
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