The Pinsker σ-algebra Π(T) of a measure-preserving system is the largest sub-σ-algebra on which T has zero entropy; equivalently the σ-algebra generated by partitions of entropy zero. A system is K (Kolmogorov) iff Π(T) is the trivial…
The Pinsker σ-algebra Π(T) of a measure-preserving system is the largest sub-σ-algebra on which T has zero entropy; equivalently the σ-algebra generated by partitions of entropy zero. A system is K (Kolmogorov) iff Π(T) is the trivial…