2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/142620We show that every minimal, free action of the group Z^2 on the Cantor set is orbit equivalent to an AF-relation. As a consequence, this extends the classification of minimal systems on the Cantor set up to orbit equivalence to include AF-relations, Z-actions and Z^2-actions.42 pagesDynamical SystemsOperator Algebras37B05Orbit equivalence for Cantor minimal Z^2-systemstext