Speedups And Orbit Equivalence Of Finite Extensions Of Ergodic Zᵈ-Actions
New York Journal Of Mathematics
We classify n-point extensions of ergodic Zᵈ-actions up to relative orbit equivalence and establish criteria under which one n-point extension of an ergodic Zᵈ-action can be sped up to be relatively isomorphic to an n-point extension of another ergodic Zᵈ-action. Both results are characterized in terms of an algebraic object associated to each n-point extension which is a conjugacy class of subgroups of the symmetric group on n elements.
ergodic Zᵈ action, finite extension, cocycle, speedup, relative isomorphism
Aimee S.A. Johnson and D. M. McClendon.
"Speedups And Orbit Equivalence Of Finite Extensions Of Ergodic Zᵈ-Actions".
New York Journal Of Mathematics.