The spectral form of Koopman representations of the group of measurable functions with values in the circle

DOI10.4064/cm8784-6-2022zbMath1530.37016arXiv2107.14760OpenAlexW3193219101MaRDI QIDQ6044534

Justin Tatch Moore, Slawomir Solecki

Publication date: 19 May 2023

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.14760

zbMATH Keywords

unitary representationsgroups of measurable functions

Mathematics Subject Classification ID

Representations of general topological groups and semigroups (22A25) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) General groups of measure-preserving transformations and dynamical systems (37A15) Measurable group actions (22F10)

Cites Work

• Unnamed Item
• Generic representations of abelian groups and extreme amenability
• Unitary representations of the groups of measurable and continuous functions with values in the circle
• On minimal actions of Polish groups
• A Boolean action of \(C(M, U(1))\) without a spatial model and a re-examination of the Cameron-Martin theorem
• Generic measure preserving transformations and the closed groups they generate
• Gaussian Hilbert Spaces
• Generic behavior of a measure-preserving transformation
• Spatial and non-spatial actions of Polish groups