  Given a non-compact Riemannian manifold M and a submanifold N of codimension
q, we will construct under certain assumptions on both M and N a wrong way map
in uniformly finite homology.
  Using an equivariant version of the construction and applying it to universal
covers, we will construct wrong way maps in homology of groups.
  As applications we discuss obstructions against positive scalar curvature
metrics and against inessentialness.
