Distal actions and ergodic actions on compact groups

Details Distal actions and ergodic actions on compact groups Distal actions and ergodic actions on compact groups

2007-04-30

arxiv.org/abs/0704.3911v1

Mathematics

Dynamical Systems

Scientific paper

Let $K$ be a compact metrizable group and $\Ga$ be a group of automorphisms of $K$. We first show that each $\ap \in \Ga$ is distal on $K$ implies $\Ga$ itself is distal on $K$, a local to global correspondence provided $\Ga$ is a generalized $\ov{FC}$-group or $K$ is a connected finite-dimensional group. We show that $\Ga$ contains an ergodic automorphism when $\Ga$ is nilpotent and ergodic on a connected finite-dimensional compact abelian group $K$.

Affiliated with

Also associated with

No associations

Rating

Distal actions and ergodic actions on compact groups does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Distal actions and ergodic actions on compact groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Distal actions and ergodic actions on compact groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-415264