Geodesic
A Furstenberg Transformation of the 2-Torus Without Quasi-Discrete Spectrum
Canadian mathematical bulletin, Tome 33 (1990) no. 3, pp. 316-322

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R. Ji asked whether or not a Furstenberg transformation of the 2-torus of the form (x,y) → (e2πiθx, f(x)y), where θ is irrational and f : T —> T is continuous with non-zero degree k, is topologically conjugate to the Anzai transformation (x, y) → (e2πiθx, xk y) or its inverse. In this paper this question is settled in the negative. Further, some sufficient conditions are given under which the crossed product C*-algebra associated with a Furstenberg transformation of the 2-torus has a unique tracial state.
DOI : 10.4153/CMB-1990-052-7
Mots-clés : 46L80 
Rouhani, H. A Furstenberg Transformation of the 2-Torus Without Quasi-Discrete Spectrum. Canadian mathematical bulletin, Tome 33 (1990) no. 3, pp. 316-322. doi: 10.4153/CMB-1990-052-7
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     title = {A {Furstenberg} {Transformation} of the {2-Torus} {Without} {Quasi-Discrete} {Spectrum}},
     journal = {Canadian mathematical bulletin},
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     year = {1990},
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