Dynamics of endomorphisms of Lie groups and their topological entropy

Victor Ayala, Adriano Da Silva

Published 2016-04-28Version 1

For a given endomorphism {\phi} of a connected Lie group G this paper studies subgroups of G that are intrinsically connected with the dynamical properties of {\phi}. We show that all the information given by the topological entropy of {\phi} is contained in the toral part of the unstable subgroup of {\phi} in G.