Skip to content

On the K-property of quantized Arnold cat maps

Sergey Neshveyev

math.OAarXiv:math/0002080

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.

Create a lesson