Isometry Groups of Borel Randomizations

Alexander Berenstein; Rafael Zamora

doi:10.1215/00294527-2020-0008

Abstract

We study global dynamical properties of the isometry group of the Borel randomization of a separable complete structure. We show that if properties such as the Rokhlin property, topometric generics, and extreme amenability hold for the isometry group of the structure, then they also hold in the isometry group of the randomization.

Citation

Download Citation

Alexander Berenstein. Rafael Zamora. "Isometry Groups of Borel Randomizations." Notre Dame J. Formal Logic 61 (2) 297 - 316, May 2020. https://doi.org/10.1215/00294527-2020-0008

Information

Received: 27 August 2018; Accepted: 6 December 2019; Published: May 2020

First available in Project Euclid: 8 April 2020

zbMATH: 07222693

MathSciNet: MR4092537

Digital Object Identifier: 10.1215/00294527-2020-0008

Subjects:

Primary: 03E15

Secondary: 22A05 , 22F50 , 54H11

Keywords: Borel randomizations , isometry groups , Rokhlin property , topological groups , topometric groups , topometric spaces

Abstract

Citation

Information

KEYWORDS/PHRASES

PUBLICATION TITLE:

PUBLICATION YEARS