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


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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