Expansiveness of algebraic actions on connected groups
نویسنده
چکیده
Any such neighborhood is called an expansive neighborhood of the identity in X. An automorphism τ of X is said to be expansive if the cyclic group generated by τ acts expansively on X. It is easy to check that when X is compact and ρ is an endomorphism action of a semigroup Γ, these two notions of expansiveness coincide. The notion of expansiveness plays an important role in the study of dynamical systems in general and endomorphism actions in particular. Earlier, expansiveness of automorphisms of connected groups was studied by several
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