  We study operads in unstable global homotopy theory, which is the homotopy
theory of spaces with compatible actions by all compact Lie groups. We show
that the theory of these operads works remarkably well, as for example it is
possible to give a model structure for the category of algebras over any such
operad. We define global $E_\infty$-operads, a good generalization of
$E_\infty$-operads to the global setting, and we give a rectification result
for algebras over them.
