Unitary representations of locally compact groups as metric structures

DOI10.1215/00294527-10670015arXiv2111.02835OpenAlexW3209324355MaRDI QIDQ6165004

Itaï Ben Yaacov, Isaac Goldbring

Publication date: 28 July 2023

Published in: Notre Dame Journal of Formal Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.02835

zbMATH Keywords

locally compact groupultraproductultrapowercontinuous logicproperty (T)metric structurecontinuous unitary representationnondegenerate \(\ast\)-representation

Mathematics Subject Classification ID

Unitary representations of locally compact groups (22D10) Ultraproducts and related constructions (03C20) Representations of group algebras (22D20) Kazhdan's property (T), the Haagerup property, and generalizations (22D55)

Cites Work

• Hilbert spaces with generic groups of automorphisms
• Filter products of \(C_{0}\)-semigroups and ultraproduct representations for Lie groups.
• Modular functionals and perturbations of Nakano spaces
• Application des ultraproduits à l'étude des espaces et des algèbres de Banach
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