6 papers
Group actions with almost normal stabilizers
MarÃa Isabel Cortez, Maik Gröger, Olga Lukina
In this paper, we consider minimal group actions of countable groups on compact Hausdorff spaces by homeomorphisms. We show that the existence of a point with finite stabilizer imp…
Induced dynamics and quasifactors for minimal equicontinuous actions on Stone spaces
MarÃa Isabel Cortez, Till Hauser
A minimal equicontinuous action of a group on a Stone space is called a subodometer. If such a subodometer arises from a group rotation, we refer to it as an odometer. For…
Minimal Equicontinuous Actions on Stone Spaces
MarÃa Isabel Cortez, Till Hauser
In this article we study minimal equicontinuous actions on Stone spaces, which we call \emph{subodometers}, and do neither assume that the space is metrizable, nor any assumptions…
Stabilized automorphism groups and full groups of odometers
MarÃa Isabel Cortez, Vicente Urria
In this article, we show that the stabilized automorphism group of free exact odometers arising from actions of finitely generated residually finite groups coincides with the topol…
Constructing Toeplitz arrays via cut and project schemes
MarÃa Isabel Cortez, Jamal Drewlo, Jaime Gómez +1
We show a one-to-one correspondence between Toeplitz arrays over residually finite topological groups and model sets obtained via specific cut and project schemes, built from the o…
A note on the structural stability of almost one-to-one maps
MarÃa Isabel Cortez, Till Hauser
A continuous surjection between compact Hausdorff spaces induces continuous surjections and $\mathcal{H}(Ï): \m…