  We investigate algebraicity properties of quotients of complex spaces by
complex reductive Lie groups G. We obtain a projectivity result for compact
momentum map quotients of algebraic G-varieties. Furthermore, we prove
equivariant versions of Kodaira's Embedding Theorem and Chow's Theorem relative
to an analytic Hilbert quotient. Combining these results we derive an
equivariant algebraisation theorem for complex spaces with projective quotient.
