| H 7.312
Vortrag: Expansive Automorphisms on Locally Compact Groups
Abstract: An automorphism T of a locally compact group G is said to be expansive if there exists a neighbourhood of the identity in G which does not contain any non-trivial T-invariant subset. We study if the expansivity carries over to the quotients modulo closed invariant subgroups when they are normal or compact. We also study the properties of groups admitting expansive automprphisms. We show that expansivity and distality are two opposite phenomena for any automorphism of a non-discrete locally compact group.