Reflexivity of the Automorphism and Isometry Groups of the Suspension of B(H)

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, every local surjective isometry, ofC0(R)⊗B(H) is an automorphism, respectively, a surjective isometry.