Study of $B\to K^*ll$ decays with BaBar

Measurements of the FCNC decay $B\to K^*ll$ allow for sensitive tests of the Standard Model due to possible New Physics contributions in the interference between penguin and box diagrams. Results from BaBar on the forward-backward lepton asymmetry and $K^*$ polarization are presented. The study of additional angular variables and the extension of the analysis to inclusive $b\to sll$ decays are also discussed.