  Let $G$ be a semisimple Lie group with Haar measure $\mu$ and let $\Gamma$ be
an irreducible lattice in $G$. For $g\in G$, we consider left translation $L_g$
acting on $(G\backslash\Gamma,\mu)$. We show that if $L_g$ is $K$ (which is
equivalent to positive entropy of $L_g$) then $L_g$ is a Bernoulli
automorphism. As a corollary, we also obtain analogous results for homogeneous
flows.
