L-groups of crystallographic groups (Q1090985)

Let \(\Lambda\) be a finitely generated group mapping onto a crystallographic group of rank n with finite kernel. The main result of the paper shows that Quinn's assembly map yields an isomorphism modulo 2- torsion between the homology groups \(H_*({\mathbb{R}}/\Lambda; {\mathbb{L}}(p))\) with spectral sheaf coefficients and the L-groups \(L_*^{- \infty}(\Lambda)\).