Standard orbit factors and entropy-free Vershik equivalence

1. Let r = (r(1), r(2),...) be a sequence of integers greater than one. Then every r-adic reverse filtration has a maximal standard orbit factor. 2. For 'entropy-free' r, a greater than or equal to 0, and any free action A of the group G = (Z/r(1)Z) + (Z/r(2)Z) + ..., there is a free ergodic action A' of G with h(A') = a and such that the reverse filtration produced by A' is isomorphic to that produced by A.