ScalingStacks

Corollary 1.13. Let $X$ be a perfect stack, and let $\Sigma$ be a finite simplicial set. Then there is a canonical equivalence $\qc(X^{\Sigma})\simeq\qc(X)\otimes\Sigma$, where $X^{\Sigma}=\Map(\Sigma,X)$ denotes the derived mapping stack, and $-\otimes\Sigma$ the tensor of stable $\infty$-categories over simplicial sets.