On the K-property of quantized Arnold cat maps | Zendy

Sergey Neshveyev | Zendy

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On the K-property of quantized Arnold cat maps

Author(s) -

Sergey Neshveyev

Publication year - 2000

Publication title -

journal of mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.708

H-Index - 119

eISSN - 1089-7658

pISSN - 0022-2488

DOI - 10.1063/1.533221

Subject(s) - decomposition , mathematics , property (philosophy) , pure mathematics , entropy (arrow of time) , mathematical physics , discrete mathematics , quantum mechanics , physics , philosophy , epistemology , ecology , biology

We prove that some quantized Arnold cat maps are entropic K-systems. Thisresult was formulated by H. Narnhofer[1], but the fact that the optimaldecomposition for the multi-channel entropy constructed there is not strictlylocal was not appropriately taken care of. We propose a strictly localdecomposition based on a construction of Voiculescu.Comment: LaTeX2e, 5 pages, to appear in J.Math.Phy

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