6 papers · 1 filter
On the centralizer and normalizer groups of odometers and Toeplitz subshifts
Jaime Gómez, Samuel Petite
For residually finite groups, we study the automorphism and normalizer groups of odometers and their symbolic extensions: Toeplitz subshifts. In relation to orbit equivalence theor…
Constructing Toeplitz arrays via cut and project schemes
María 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…
Sequence entropy and independence in free and minimal actions
Jaime Gómez, Irma León-Torres, Víctor Muñoz-López
For every countable infinite group that admits as a homomorphic image, we show that for each , there exists a minimal action whose topological sequence…
Almost 1-1 extensions of Furstenberg-Weiss type and test for amenability
María Isabel Cortez, Jaime Gómez
Let be an infinite residually finite group. We show that for every minimal equicontinuous Cantor system with a free orbit, and for every minimal extension of $(…
Almost automorphic systems have invariant measures
María Isabel Cortez, Jaime Gómez
Let be a non-amenable countable group. We show that every almost automorphic -action on a compact Hausdorff space, with a maximal equicontinuous factor whose phase space is…
Topo-isomorphisms of irregular Toeplitz subshifts for residually finite groups
Jaime Gómez
For each countable residually finite group , we present examples of irregular Toeplitz subshifts in that are topo-isomorphic extensions of its maximal equicontinuous…