  The aim of this paper is to show that the automorphism and isometry groups of
the suspension of $B(H)$, $H$ being a separable infinite dimensional Hilbert
space, are algebraically reflexive. This means that every local automorphism,
respectively local surjective isometry of $C_0(\mathbb R)\otimes B(H)$ is an
automorphism, respectively a surjective isometry.
