ScalingStacks

Theorem 1.7. For a perfect stack $X$, there are canonical equivalences

$$\mathcal{Z}(\qc(X))\simeq\qc(\mathcal{L}X)\simeq\mathcal{T}r(\qc(X))$$

between its center, trace, and the $\infty$-category of sheaves on its loop space.