Ergodic properties of group extensions of dynamical systems with discrete spectra
Volume 101 / 1991
Studia Mathematica 101 (1991), 19-31
DOI: 10.4064/sm-101-1-19-31
Abstract
Ergodic group extensions of a dynamical system with discrete spectrum are considered. The elements of the centralizer of such a system are described. The main result says that each invariant sub-σ-algebra is determined by a compact subgroup in the centralizer of a normal natural factor.
