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Entropy of $C^\ast$-dynamical systems defined by bitstreams

Published online by Cambridge University Press:  01 August 1998

V. YA. GOLODETS  and
ERLING ST&\Oslash;RMER
V. YA. GOLODETS
Affiliation:
Institute for Low Temperature Physics and Engineering of Ukrainean Academy of Sciences, 47 Lenin Ave. Kharkov 310164, Ukraine
ERLING ST&\Oslash;RMER
Affiliation:
Department of Mathematics, University of Oslo, 0316 Blindern, Oslo, Norway
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Abstract

We study automorphisms of the CAR-algebra obtained from binary shifts. We consider cases when the $C^\ast$-dynamical system is asymptotically abelian, is proximally asymptotically abelian, is an entropic $K$-system or has completely positive entropy. The entropy is computed in several cases.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 18 , Issue 4 , August 1998 , pp. 859 - 874
Copyright
© 1998 Cambridge University Press

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