A Finite Partition in a Dynamical System with Entropy Depending on the Size |
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| Authors: | Choda Marie Takehana Hiroaki |
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| Affiliation: | (1) Department of Mathematics, Osaka Kyoiku University, Asahigaoka, Kashiwara, 582, Japan;(2) Osaka Kyoiku University, Tennnoji, Osaka, 543, Japan |
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| Abstract: | A finite partition X in a C*-dynamical system has the Alicki–Fannes entropy depending on the size of X so that the dynamical entropy is  . Examples are given as Cuntz's canonical endomorphism, the inner automorphism Adu on the crossed product of a quantum spin chain by the shift, and the free shift. |
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| Keywords: | entropy dynamical system. |
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