On the K-property of quantized Arnold cat maps

S. V. Neshveyev
2000 Journal of Mathematical Physics  
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.
doi:10.1063/1.533221 fatcat:y7gl4vgctjb5be2wit3gslghe4