  We use a spectral sequence developed by Graeme Segal in order to understand
the twisted G-equivariant K-theory for proper and discrete actions. We show
that the second page of this spectral sequence is isomorphic to a version of
Bredon cohomology with local coefficients in twisted representations. We
furthermore explain some phenomena concerning the third differential of the
spectral sequence, and we recover known results when the twisting comes from
finite order elements in discrete torsion.
