Abstract:A reversible gate on a subshift on a residually finite group G can be applied on any sparse enough finite-index subgroup H, to obtain what we call a gate lattice. Gate lattices are automorphisms of the shift action of H, thus generate a subgroup of the Hartman-Kra-Schmieding stabilized automorphism group. We show that for subshifts of finite type with a gluing property we call the eventual filling property, the subgroup generated by even gate lattices is simple. Under some conditions, even gate lattices genera… Show more
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