On the K-property of quantized Arnold cat maps

Details On the K-property of quantized Arnold cat maps On the K-property of quantized Arnold cat maps

2000-02-10

arxiv.org/abs/math/0002080v1

Mathematics

Operator Algebras

LaTeX2e, 5 pages, to appear in J.Math.Phys

Scientific paper

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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