A non-commutative version of the Arnold
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F. Benatti; H. Narnhofer; G. L. Sewell
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Article
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1991
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Springer
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English
โ 701 KB
Almtract. We provide a treatment of the ergodic properties of a noncommutative algebraic analogue of the dynamical system known as the Arnold 'cat map' of the two-dimensional torus. Here, the algebra of functions on the torus is replaced by its noncommutative analogue, formulated by Connes and Rieff