  We give many examples of algebraic actions which are factors of Bernoulli
shifts. These include certain harmonic models over left orderable groups of
large enough growth, as well as algebraic actions associated to certain
lopsided elements in any left orderable group. For many of our examples, the
acting group is amenable so these actions are Bernoulli (and not just a factor
of a Bernoulli), but there is no obvious Bernoulli partition.
