Factors of Toeplitz flows and other almost 1-1 extensions over group rotations

Tomasz Downarowicz (1) , Fabien Durand (2)

1 PAN - Institut of Mathematics - Polish Academy of Sciences
2 LAMFA - Laboratoire Amiénois de Mathématique Fondamentale et Appliquée - UMR CNRS 7352

If a flow has a symbolic extension then it also has a symbolic almost 1-1 extension. The factors of symbolic almost automorphic flows are characterized as those almost automorphic flows which admit a symbolic extension. As an application, we provide concrete examples of factors of Toeplitz flows, which are neither Toeplitz flows nor odometers.

Domaines: Systèmes dynamiques [math.DS]

Tomasz Downarowicz, Fabien Durand. Factors of Toeplitz flows and other almost 1-1 extensions over group rotations. Mathematica Scandinavica, 2002, 90 (1), pp.57-72. ⟨hal-01180293⟩