  We prove a classification result for a large class of noncommutative
Bernoulli crossed products $(P,\phi)^\Lambda \rtimes \Lambda$ without almost
periodic states. Our results improve the classification results from [1], where
only Bernoulli crossed products built with almost periodic states could be
treated. We show that the family of factors $(P,\phi)^\Lambda \rtimes \Lambda$
with $P$ an amenable factor, $\phi$ a weakly mixing state (i.e. a state for
which the modular automorphism group is weakly mixing) and $\Lambda$ belonging
to a large class of groups, is classified by the group $\Lambda$ and the action
$\Lambda \curvearrowright (P, \phi)^\Lambda$, up to state preserving
conjugation of the action.
  [1] Stefaan Vaes and Peter Verraedt. Classification of type III Bernoulli
crossed products. Adv. Math., 281:296-332, 2015.
