Entropy range problems and actions of locally normal groups

MILES, Richard and BJÖRKLUND, Michael (2009). Entropy range problems and actions of locally normal groups. Discrete and Continuous Dynamical Systems - Series A, 25 (3), 981-989.

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Link to published version:: https://doi.org/10.3934/dcds.2009.25.981
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    This paper deals with the problem of finding the range of entropy values resulting from actions of discrete amenable groups by automorphisms of compact abelian groups. When the acting group G is locally normal, we obtain an entropy formula and show that the full range of entropy values [0, ∞] occurs for actions of G. We consider related entropy range problems, give sufficient conditions for zero entropy and, as a consequence, verify the known relationship between completely positive entropy and mixing for these actions.

    Item Type: Article
    Departments - Does NOT include content added after October 2018: Faculty of Social Sciences and Humanities > Department of Teacher Education
    Identification Number: https://doi.org/10.3934/dcds.2009.25.981
    Page Range: 981-989
    Depositing User: Richard Miles
    Date Deposited: 26 Jan 2018 14:37
    Last Modified: 18 Mar 2021 16:30
    URI: https://shura.shu.ac.uk/id/eprint/17230

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