  Dynamo activity caused by waves in a rotating magneto-plasma is investigated.
In astrophysical environments such as accretion disks and at sufficiently small
spatial scales, the Hall effect is likely to play an important role. It is
shown that a combination of the Coriolis force and Hall effect can produce a
finite $\alpha$-effect by generating net helicity in the small scales. The
shear/ion-cyclotron normal mode of the Hall plasma is the dominant contributor
to the dynamo action for short scale motions.
