  We investigate the validity of fluctuation theorems for an asymmetric rotor
experiment in a granular gas. A first state, with a Gaussian distribution of
the angular velocity, is found to be well described by a first order Langevin
equation. We show that fluctuation theorems are valid for the injected work and
for the total entropy production. In a second state the angular velocity
distribution is double-peaked due to a spontaneous symmetry breaking: A
convection roll develops in the granular gas, which strongly couples to the
rotor. Surprisingly, in this case similar symmetry relations hold, which lead
to a good prediction for the height ratio of the two peaks.
