  With a sample of about 227 million BB pairs recorded with the BABAR detector
at the PEP-II storage ring we perform a full angular analysis of the decay
B0->PhiK*0(892). We measure the branching fraction to be (9.2+-0.9+-0.5)10^-6
and determine the fractions of longitudinal and parity-odd transverse
contributions as f_L=0.52+-0.05+-0.02 and f_perp=0.22+-0.05+-0.02,
respectively. The phases of the parity-even and parity-odd transverse
amplitudes relative to the longitudinal amplitude are found to be phi_parallel=
2.34+0.23-0.20+-0.05 rad and phi_perp=2.47+-0.25+-0.05 rad, respectively. We
measure five CP asymmetries which provide important limits on CP violation
originating from new physics. We also observe the decay B0->PhiK*0(1430).
