Markovian properties of continuous group actions: Algebraic actions, entropy and the homoclinic group
نویسندگان
چکیده
We provide a unifying approach which links results on algebraic actions by Lind and Schmidt, Chung Li, topological result Meyerovitch that relates entropy to the set of asymptotic pairs. In order do this we introduce series Markovian properties and, under assumption they are satisfied, prove several relate pairs (the homoclinic group in case). As new applications our method, give characterization any finitely presented expansive action (1) elementary amenable with an upper bound orders finite subgroups or (2) left orderable group, using language independence
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2022
ISSN: ['1857-8365', '1857-8438']
DOI: https://doi.org/10.1016/j.aim.2022.108196