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On the Structure of Covers of Sofic Shifts

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Authors:
  • Johansen, Rune
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    Orcid logo0000-0003-1506-4333
    Department of Mathematical Sciences, Faculty of Science, Københavns Universitet
Abstract:
A canonical cover generalizing the left Fischer cover to arbitrary sofic shifts is introduced and used to prove that the left Krieger cover and the past set cover of a sofic shift can be divided into natural layers. These results are used to find the range of a flow-invariant and to investigate the ideal structure of the universal C*-algebra associated to a sofic shift space.
Type:
Journal article
Language:
English
Published in:
Documenta Mathematica, 2011, Vol 16, p. 111-131
Main Research Area:
Science/technology
Publication Status:
Published
Review type:
Peer Review
Submission year:
2011
Scientific Level:
Scientific
ID:
231960832

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