  Denote by $\DC(M)_0$ the identity component of the group of the compactly
supported $C^r$ diffeomorphisms of a connected $C^\infty$ manifold $M$. We show
that if $\dim(M)\geq2$ and $r\neq \dim(M)+1$, then any homomorphism from
$\DC(M)_0$ to ${\Diff}^1(\R)$ or ${\Diff}^1(S^1)$ is trivial.
