Correia Ramos, C.; Martins, N.; Pinto, P.R.
(Symmetry, Integrability and Geometry: Methods and Applications, 2012)
We show that every point x0∈[0,1] carries a representation of a C∗-algebra that encodes the orbit structure of the linear mod 1 interval map fβ,α(x)=βx+α. Such C∗-algebra is generated by partial isometries arising from the ...