Normal subgroups of diffeomorphism and homeomorphism groups of Rn and other open manifolds

We determine all the normal subgroups of the group of C-r diffeomorphisms of R-n, 1 <= r <= infinity, except when r = n + 1 or n = 4, and also of the group of homeomorphisms of R-n (r = 0). We also study the group A(0) of diffeomorphisms of an open manifold M that are isotopic to the identity. If M is the interior of a compact manifold with non-empty boundary, then the quotient of A(0) by the normal subgroup of diffeomorphisms that coincide with the identity near to a given end e of M is simple.