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    PAVLOV, RONNIE 2014. A characterization of topologically completely positive entropy for shifts of finite type. Ergodic Theory and Dynamical Systems, Vol. 34, Issue. 06, p. 2054.


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group shifts and Bernoulli factors

  • MIKE BOYLE (a1) (a2) and MICHAEL SCHRAUDNER (a2)
  • DOI: http://dx.doi.org/10.1017/S0143385707000697
  • Published online: 01 April 2008
Abstract
Abstract

In this paper, a group shift is an expansive action of on a compact metrizable zero-dimensional group by continuous automorphisms. All group shifts factor topologically onto equal-entropy Bernoulli shifts; abelian group shifts factor by continuous group homomorphisms onto canonical equal-entropy Bernoulli group shifts; and completely positive entropy abelian group shifts are weakly algebraically equivalent to these Bernoulli factors. A completely positive entropy group (even vector) shift need not be topologically conjugate to a Bernoulli shift, and the Pinsker factor of a vector shift need not split topologically.

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Ergodic Theory and Dynamical Systems
  • ISSN: 0143-3857
  • EISSN: 1469-4417
  • URL: /core/journals/ergodic-theory-and-dynamical-systems
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