2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/67639For each $2 \leq n \leq \infty$, we construct an uncountable family of free ergodic measure preserving actions $α_t$ of the free group $\Bbb F_n$ on the standard probability space $(X, μ)$ such that any two are non orbit equivalent (in fact, not even stably orbit equivalent). These actions are all ``rigid'' (in the sense of [Po01]), with the II$_1$ factors $L^\infty(X, μ)\rtimes_{α_t} \Bbb F_n$ mutually non stably isomorphic (even non-stably isomorphic) and in the class $\Cal H\Cal T_{_{s}}.$New version (13 pages), which includes the case $ n = \infty$; revised version 04/08/04Group TheoryOperator Algebras28D15, 46L10, 46L35, 20E05An Uncountable Family of Non Orbit Equivalent Actions of $\Bbb F_n$text