let g be a countable, discrete, group and f an element of the integral group ring over g. it is well known how to associate to f an action of g on a compact, metrizable, abelian group. it turns out to be particularly interested to consider those f with an $\ell^{2}$-inveres: i.e. a vector $\xi\in \ell^{2}(g)$ so that $f*\xi=\delta_{1}$. many nice ergodic theoretic properties of the corresponding action have been established in this context. i will give certain examples of f,g for which we can say that this action is a quotient of a bernoulli shift. when g is amenable, this implies that it *is* a bernoulli shift.