S. Ferenczi et B. Kaminski, ZERO ENTROPY AND DIRECTIONAL BERNOULLICITY OF A GAUSSIAN Z(2)-ACTION, Proceedings of the American Mathematical Society, 123(10), 1995, pp. 3079-3083
We give an example of a Gaussian Z(2)-action Phi with zero entropy whi
ch is weakly mixing, rigid and such that every non-trivial measure-pre
serving transformation Phi(g) defined by Phi, g is an element of Z(2),
is a Bernoulli shift with infinite entropy.