Orbit Representations from Linear mod 1 Transformations

We show that every point x0 2 [0; 1] carries a representation of a C -algebra that encodes the orbit structure of the linear mod 1 interval map f ; (x) = x + . Such C -algebra is generated by partial isometries arising from the subintervals of monotonicity of the underlying map f ; . Then we prove t...

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Bibliographic Details
Main Author: Ramos, Carlos Correia (author)
Other Authors: Martins, Nuno (author), Pinto, Paulo R. (author)
Format: article
Language:eng
Published: 2013
Subjects:
Online Access:http://hdl.handle.net/10174/7927
Country:Portugal
Oai:oai:dspace.uevora.pt:10174/7927