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Orbit Representations from Linear mod 1 Transformations

We show that every point $x_0in [0,1]$ carries a representationof a $C^*$-algebra that encodes the orbit structure of thelinear mod 1 interval map $f_{eta,alpha}(x)=eta x +alpha$. Such $C^*$-algebra is generated by partial isometries arising from the subintervals of monotonicity of the underlying ma...

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Hlavní autoři: Carlos Correia Ramos, Nuno Martins, Paulo R. Pinto
Médium: Artigo
Jazyk:Inglês
Vydáno: National Academy of Science of Ukraine 2012-05-01
Edice:Symmetry, Integrability and Geometry: Methods and Applications
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On-line přístup:http://dx.doi.org/10.3842/SIGMA.2012.029
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