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arxiv: math/0003207 · v1 · submitted 2000-03-29 · 🧮 math.DS

Expansiveness of algebraic actions on connected groups

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keywords actionsgroupconnectedexpansivenessalgebraicarbitrarycompactconditions
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We consider endomorphism actions of arbitrary discrete semigroups on a connected metrizable topological group G. We give necessary and sufficient conditions for expansiveness of such actions when G is a Lie group or a compact finite-dimensional group.

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