Metric groups, unitary representations and continuous logic
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Publication:6344675
DOI10.2478/CM-2021-0007arXiv2007.04088MaRDI QIDQ6344675
Publication date: 6 July 2020
Abstract: We describe how properties of metric groups and of unitary representations of metric groups can be presented in continuous logic. In particular we find -axiomatization of amenability. We also show that in the case of locally compact groups some uniform version of the negation of Kazhdan's property {�f (T)} can be viewed as a union of first-order axiomatizable classes. We will see when these properties are preserved under taking elementary substructures.
General properties and structure of locally compact groups (22D05) Structure of topological semigroups (22A15) Continuous model theory, model theory of metric structures (03C66)
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