we construct a class of projected SO(5) models where the Gutwiller constrai
nt of no-double-occupancy is implemented exactly. We introduce the concept
of projected SO(5) symmetry where all static correlation functions are exac
tly SO(5) symmetric and discuss the signature of the projected SO(5) symmet
ry in dynamical correlation functions. We show that this class of projected
SO(5) models can give a realistic description of the global phase diagram
of the high-T-c superconductors and account for many of their physical prop
erties. [S0163-1829(99)12241-0].