| Abstract: | For a locally compact group $G$ and a group $\Gamma$ of $Aut(G)$, the $\Gamma$-action on $G$ is said to be distal if the $\Gamma$-orbit of each non-trivial element in $G$ stays away from the identity. We will discuss some properties of distal actions. We also characterise groups whose inner automorphisms are distal in terms of behaviour of convolution powers of probability measures on it. We also relate such groups with groups of polynomial growth and unimodular groups. We will review some recent results. |
Within the CRC this talk is associated to the project(s): B1, C8
