Expansiveness of algebraic actions on connected groups

Details Expansiveness of algebraic actions on connected groups Expansiveness of algebraic actions on connected groups

2000-03-29

arxiv.org/abs/math/0003207v1

Mathematics

Dynamical Systems

21 pages, no figures

Scientific paper

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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