2 papers
math.DS2026
Precompactness notions in Kaplansky--Hilbert modules and extensions with discrete spectrum
Markus Haase, Henrik Kreidler
This paper is a continuation of our work on the functional-analytic core of the classical Furstenberg-Zimmer theory. We introduce and study (in the framework of lattice-ordered spa…
math.DS2025
A Peter-Weyl theorem for compact group bundles and the geometric representation of relatively ergodic compact extensions
Nikolai Edeko, Asgar Jamneshan, Henrik Kreidler
We show that a relatively ergodic extension of measure-preserving dynamical systems has relative discrete spectrum if and only if it can be represented as a skew-product by a bundl…