Toeplitz \(Z_ 2\)-extensions. (English) Zbl 0647.28013

The author considers a class of ergodic automorphisms which are \(Z_ 2\)- extensions of automorphisms with rational discrete spectrum. In the early part of the paper the class is described and conditions are given for various spectral properties, including boundedness of the spectral multiplicity.
The majority of the paper deals in detail with various subclasses, such as generalized Morse sequences. Of special interest are some examples with a Lebesgue spectral component of finite (even) multiplicity.
Reviewer: D.Newton


28D05 Measure-preserving transformations
Full Text: Numdam EuDML