A Peter-Weyl theorem for compact group bundles and the geometric representation of relatively ergodic compact extensions

N Edeko, A Jamneshan, H Kreidler - arXiv preprint arXiv:2302.13630, 2023 - arxiv.org
We establish that a relatively ergodic extension of arbitrary measure-preserving dynamical
systems has relative discrete spectrum if and only if it is isomorphic to a generalized skew …