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

Authors

  • T. Downarowicz
  • F. Durand

DOI:

https://doi.org/10.7146/math.scand.a-14361

Abstract

If a minimal topological flow admits a symbolic extension then it also admits 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.

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Published

2002-03-01

Issue

Section

Articles