  Let Gamma be a semidirect product of the form Z^n rtimes Z/p where p is prime
and the Z/p-action on Z^n is free away from the origin. We will compute the
topological K-theory of the real and complex group C*-algebra of Gamma and show
that Gamma satisfies the unstable Gromov-Lawson-Rosenberg Conjecture. On the
way we will analyze the (co-)homology and the topological K-theory of the
classifying spaces BGamma and underbar{B}Gamma. The latter is the quotient of
the induced Z/p-action on the torus T^n.
