Expansiveness of algebraic actions on connected groups

Bhattacharya, Siddhartha

doi:10.1090/S0002-9947-04-03590-1

Expansiveness of algebraic actions on connected groups
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by Siddhartha Bhattacharya

Trans. Amer. Math. Soc. 356 (2004), 4687-4700

DOI: https://doi.org/10.1090/S0002-9947-04-03590-1

Published electronically: June 22, 2004

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Abstract:

We study endomorphism actions of a discrete semigroup $\Gamma$ on a connected group $G$. We give a necessary and sufficient condition for expansiveness of such actions provided $G$ is either a Lie group or a solenoid.

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