Relative spectral theory and measure-theoretic entropy of gaussian extensions
Volume 206 / 2009
Fundamenta Mathematicae 206 (2009), 287-298
MSC: 37A05, 37A35, 37A50, 37A30.
DOI: 10.4064/fm206-0-17
Abstract
We describe the natural framework in which the relative spectral theory is developed. We give some results and indicate how they relate to two open problems in ergodic theory. We also compute the relative entropy of gaussian extensions of ergodic transformations.