  We study the effects of induced interactions on the pairing gap, transition
temperature and chemical potential of a quasi-two dimensional Fermi gas of
atoms with spin-orbit coupling. We find that these mean-field parameters are
significantly modified when induced interactions are taken into account. We
also investigate the implications of induced interactions corrections for the
BCS-BEC crossover driven by spin-orbit coupling, that happens even for small
(compared to the Fermi energy) values of the binding energy.
