  We show that expanding toral endomorphisms, together with their respective
Lebesgue measure are isomorphic to 1-sided Bernoulli shifts. This result is
then extended to smooth perturbations of expanding toral endomorphisms,
together with their respective measures of maximal entropy. Also we study group
extensions of expanding toral endomorphisms and show that under certain, not
too restrictive conditions on the extension cocycle, these skew products are
1-sided Bernoulli as well.
