Gauging the Categorical Connes' $\tilde{\chi }(M)$

Quan Chen

We prove that if a finite group $G$ acts outerly on a McDuff $\mathrm{I}{\mathrm{I}}_1$ factor $M$, then $\mathsf{Rep}(G/KL)$ is a braided monoidal full subcategory of the categorical Connes' $\ti…