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On the K-property of quantized Arnold cat maps

โœ Scribed by Neshveyev, S. V.


Book ID
120939960
Publisher
American Institute of Physics
Year
2000
Tongue
English
Weight
379 KB
Volume
41
Category
Article
ISSN
0022-2488

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๐Ÿ“œ SIMILAR VOLUMES


A non-commutative version of the Arnold
โœ F. Benatti; H. Narnhofer; G. L. Sewell ๐Ÿ“‚ Article ๐Ÿ“… 1991 ๐Ÿ› Springer ๐ŸŒ English โš– 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