Topological dynamics of Polish group extensions
Jahel, Colin ; Zucker, Andy
arXiv, Tome 2019 (2019) no. 0, / Harvested from
We consider a short exact sequence $1\to H\to G\to K\to 1$ of Polish groups and consider what can be deduced about the dynamics of $G$ given information about the dynamics of $H$ and $K$. We prove that if the respective universal minimal flows $M(H)$ and $M(K)$ are metrizable, then so is $M(G)$. Furthermore, we show that if $M(H)$ and $M(K)$ are metrizable and both $H$ and $K$ are uniquely ergodic, then so is $G$. We then discuss several examples of these phenomena
Publié le : 2019-02-13
Classification:  Mathematics - Dynamical Systems,  Mathematics - Combinatorics,  Mathematics - Group Theory,  Mathematics - Logic 
@article{1902.04901,
     author = {Jahel, Colin and Zucker, Andy},
     title = {Topological dynamics of Polish group extensions},
     journal = {arXiv},
     volume = {2019},
     number = {0},
     year = {2019},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1902.04901}
}

Jahel, Colin; Zucker, Andy. Topological dynamics of Polish group extensions. arXiv, Tome 2019 (2019) no. 0, . http://gdmltest.u-ga.fr/item/1902.04901/