Document Type
Article
Publication Date
12-18-2015
Published In
New York Journal Of Mathematics
Abstract
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.
Keywords
ergodic Zᵈ action, finite extension, cocycle, speedup, relative isomorphism
Recommended Citation
Aimee S.A. Johnson and D. M. McClendon.
(2015).
"Speedups And Orbit Equivalence Of Finite Extensions Of Ergodic Zᵈ-Actions".
New York Journal Of Mathematics.
Volume 21,
1371-1387.
https://works.swarthmore.edu/fac-math-stat/180
Comments
This work was first published in the New York Journal of Mathematics; it is made freely available free courtesy of their copyright policy. For further distribution, please contact the author.