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On the K-property of quantized Arnold cat maps

Sergey Neshveyev
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Abstract

We prove that some quantized Arnold cat maps are entropic K-systems. This result was formulated by H. Narnhofer[1], but the fact that the optimal decomposition for the multi-channel entropy constructed there is not strictly local was not appropriately taken care of. We propose a strictly local decomposition based on a construction of Voiculescu.

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Sergey Neshveyev. 2000-02-10. On the K-property of quantized Arnold cat maps. https://doi.org/10.1063/1.533221

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