Unitary representations of the groups of measurable and continuous functions with values in the circle

DOI10.1016/j.jfa.2014.08.003zbMath1306.22001arXiv1409.5848OpenAlexW2963313472MaRDI QIDQ457636

Slawomir Solecki

Publication date: 29 September 2014

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.5848

zbMATH Keywords

unitary representationgroup of continuous functionsgroup of measurable functions

Mathematics Subject Classification ID

Representations of general topological groups and semigroups (22A25) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Topological linear spaces of continuous, differentiable or analytic functions (46E10)

Related Items (8)

Concentration of measure, classification of submeasures, and dynamics of \(L_0\) ⋮ Automorphism groups of countable structures and groups of measurable functions ⋮ On amenability and groups of measurable maps ⋮ Amenability versus property (𝑇) for non-locally compact topological groups ⋮ The spectral form of Koopman representations of the group of measurable functions with values in the circle ⋮ Generic measure preserving transformations and the closed groups they generate ⋮ Infinite-dimensional Polish groups and property (T) ⋮ Generic behavior of a measure-preserving transformation

Cites Work

• Generic representations of abelian groups and extreme amenability
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• On the imbedding of topological groups into connected topological groups
• Closed subgroups generated by generic measure automorphisms
• RESONANCE THEOREMS and SUPERLINEAR OPERATORS
• Spatial and non-spatial actions of Polish groups
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