Monday, June 25, 2012 - 16:00 in T2-149
Distal Actions on Groups
A talk in the 'Oberseminar Gruppen und Geometrie'
from Nehru University New Delhi
||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