Reflexivity of the automorphism and isometry groups of the suspension of $B(H)$

Details Reflexivity of the automorphism and isometry groups of the suspension of $B(H)$ Reflexivity of the automorphism and isometry groups of the suspension of $B(H)$

1997-11-26

arxiv.org/abs/math/9711208v1

Mathematics

Functional Analysis

Scientific paper

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.

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