ScalingStacks

Example 5.7. When $\mathcal{F}$ is the $\mathcal{E}_{1}$ operad, the notion of an $\mathcal{F}$-$\mathcal{C}$-module coincides with that of a $\mathcal{C}$-bimodule: it is an $\infty$-category left and right tensored over $\mathcal{C}$. When $\mathcal{F}$ is the $\mathcal{E}_{\infty}$ operad, the notion coincides with that of a left (or equivalently right) module.