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Let $X$ be a compact metrizable group and let $\unicode[STIX]{x1D6E4}$ be a countable group acting on $X$ by continuous group automorphisms. We give sufficient conditions under which the dynamical system… Click to show full abstract
Let $X$ be a compact metrizable group and let $\unicode[STIX]{x1D6E4}$ be a countable group acting on $X$ by continuous group automorphisms. We give sufficient conditions under which the dynamical system $(X,\unicode[STIX]{x1D6E4})$ is surjunctive, i.e. every injective continuous map $\unicode[STIX]{x1D70F}:X\rightarrow X$ commuting with the action of $\unicode[STIX]{x1D6E4}$ is surjective.
Keywords:
stix x1d6e4;
topological rigidity;
systems surjunctivity;
dynamical systems;
surjunctivity topological;
unicode stix
Journal Title: Ergodic Theory and Dynamical Systems
Year Published: 2017
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Journal Title: Ergodic Theory and Dynamical Systems
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!