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arXiv · 1604.08272

Topological entropy of a Lie group automorphism

Victor Ayala·Adriano Da Silva·Heriberto Román-Flores
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Abstract

Let {\phi} be an automorphism on a connected Lie group G. Through several G-subgroups associated to the dynamics of {\phi} we analyze their topological entropy. Assume that G belongs to the class of finite semisimple center Lie groups which admits a {\phi} invariant Levi subgroup. Then we prove that the topological entropy information of {\phi} is contained in the toral component of the unstable subgroup of {\phi} in the radical of G. We specialize the main result in a couple of interesting situations.

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Victor Ayala, Adriano Da Silva, Heriberto Román-Flores. 2016-04-28. Topological entropy of a Lie group automorphism. https://arxiv.org/abs/1604.08272

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