  In this thesis we talk about lipschitz-homotopy invariants for manifolds of
bounded geometry. There are three main results: the first one is the definition
of a controvariant functor between the category of manifolds of bounded
geometry with uniformly proper lipschitz maps and the category of complex
vector space together linear maps. As consequence of this we obtain that the
(un)-reduced $L^2$-cohomology is a lipschitz-homotopy invariant. The second
result is the invariance of the Roe index of the signature operator under
lipschitz-homotopy equivalence which preserves the orientations. Finally, the
last result is the following: given a lipschitz-homotopy equivalence wich
preserves the orientations between manifold of bounded geometry, we define a
$\rho$-class in the K-theory group of the structure algebra of the codomain
which is related to the lipschitz-homotopy. This class only depends on the
domain and on the lipschitz-homotopy class of the map.
