  Replaces Previous version. Includes comments on poincare duality for twisted
equivariant in the context of proper and discrete actions and the Baum-Connes
Conjecture. We use a spectral sequence proposed by C. Dwyer and previous work
by Sanchez-Garcia and Soule to compute Twisted Equivariant K-theory groups of
the classifying space for proper actions of Sl3(Z). After proving a Universal
coefficient theorem in Bredon Cohomology with specific coefficients, we compute
the twisted equivariant K-homology and state a relation to the Baum-Connes
Conjecture with coefficients.

K-Theory and Homology