Abstract
We prove that all ergodic components of an extension of an ergodic system by translations on a nilmanifold $X$ are isomorphic to extensions of this system by translations on subnilmanifolds of $X$.
Citation
A. Leibman. "Ergodic components of an extension by a nilmanifold." Illinois J. Math. 52 (3) 957 - 965, Fall 2008. https://doi.org/10.1215/ijm/1254403724
Information