Contraction Estimates on Groups.
2003, v.9, №4, 829-840
Let $G$ be an almost simple group. We characterize representation $\rho$ and give suitable conditions on a probability measure $\mu$ on $G$ such that $\rho (\mu) = \int_G \rho(g) d\mu(g)$ is a strict contraction, i.e. $||\rho(\mu)|| <1$.
Keywords: averaged representations,contraction estimates,almostsimple groups