For each 1≤ n ≤∞, we construct an uncountable family of free
ergodic measure preserving actions alpha_t of the free group Fn
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^∞(X, µ)\rtimes_{alpha_t} Fn
mutually non-isomorphic (even non-stably isomorphic) and in the class HTs.
