English

On the K-property of quantized Arnold cat maps

Operator Algebras 2015-06-26 v1

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.

Cite

@article{arxiv.math/0002080,
  title  = {On the K-property of quantized Arnold cat maps},
  author = {Sergey Neshveyev},
  journal= {arXiv preprint arXiv:math/0002080},
  year   = {2015}
}

Comments

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

R2 v1 2026-07-22T16:31:10.938Z