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math.DS2025
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.DS2021
A Decomposition Theorem for Unitary Group Representations on Kaplansky-Hilbert Modules and the Furstenberg-Zimmer Structure Theorem
Nikolai Edeko, Markus Haase, Henrik Kreidler
In this paper, a decomposition theorem for (covariant) unitary group representations on Kaplansky-Hilbert modules over Stone algebras is established, which generalizes the well-kno…
math.DS2015
On systems with quasi-discrete spectrum
Markus Haase, Nikita Moriakov
In this paper we re-examine the theory of systems with quasi-discrete spectrum initiated in the 1960's by Abramov, Hahn, and Parry. In the first part, we give a simpler proof of th…