eng
episciences.org
Communications in Mathematics
1804-1388
2336-1298
2021-04-30
Volume 29 (2021), Issue 1...
10.2478/cm-2021-0007
9526
journal article
Metric groups, unitary representations and continuous logic
Aleksander Ivanov
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.
https://cm.episciences.org/9526/pdf
General Mathematics
[MATH]Mathematics [math]