ScalingStacks

Remark 2.2.7. Using 2.1.1, we have an equivalence of $\infty$-categories $\mathbf{Op}_{\infty,*}\simeq\left(\mathbf{Op}_{\infty}\right)_{\mathbf{Triv}/}$. Since $\mathbf{Triv}\to\mathbb{E}_{0}$ is an equivalence after tensoring with $\mathbb{E}_{0}$, we get $\mathbf{Op}_{\infty,*}^{\operatorname{\scriptsize{un}}}\simeq\left(\mathbf{Op}_{\infty}^{\operatorname{\scriptsize{un}}}\right)_{\mathbb{E}_{0}/}$ and therefore also $\mathbf{Op}_{\infty,*}^{\operatorname{\scriptsize{red}}}\simeq(\mathbf{Op}_{\infty}^{\operatorname{\scriptsize{red}}})_{\mathbb{E}_{0}/}$. We allow ourselves to pass freely between the two points of view on (unital, reduced) pointed $\infty$-operads.