Shift Automorphisms of the Hyperfinite Factor

For a large class of shift transformations of a LEBESGUE measure space (they have to fulfil some mixing condition) we construct automorphisms of the hyperfinite factor of type II₁. The CONNES -STØRMER entropy of the resulting automorphisms equals the measure theoretic entropy of the corresponding shift transformations. Two such automorphisms are conjugate if the conjugacy between the original measure space shifts can be given by a code with finite expected code length.