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Article Dans Une Revue Communications in Mathematics Année : 2021

Metric groups, unitary representations and continuous logic

Aleksander Ivanov
  • Fonction : Auteur correspondant

Résumé

We describe how properties of metric groups and of unitary representations of metric groups can be presented in continuous logic. In particular we find Lω 1 ω -axiomatization of amenability. We also show that in the case of locally compact groups some uniform version of the negation of Kazhdan’s property (T) can be viewed as a union of first-order axiomatizable classes. We will see when these properties are preserved under taking elementary substructures.
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hal-03665007 , version 1 (11-05-2022)

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Paternité - Pas d'utilisation commerciale - Pas de modification

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Aleksander Ivanov. Metric groups, unitary representations and continuous logic. Communications in Mathematics, 2021, Volume 29 (2021), Issue 1 (Special Issue: Ostrava Mathematical Seminar) (1), pp.35 - 48. ⟨10.2478/cm-2021-0007⟩. ⟨hal-03665007⟩
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