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Isometry Groups of Borel Randomizations
Notre Dame Journal of Formal Logic 61 (2):297-316 (2020)
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.Other Versions
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References found in this work
Automorphism groups of randomized structures.Tomás Ibarlucía - 2017 - Journal of Symbolic Logic 82 (3):1150-1179.
Consequences of the existence of ample generics and automorphism groups of homogeneous metric structures.Maciej Malicki - 2016 - Journal of Symbolic Logic 81 (3):876-886.
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