Torsorial actions on G-crossed braided tensor categories

David Aasen, Parsa Bonderson, Christina Knapp

We develop a method for generating the complete set of basic data under the torsorial actions of $H_{[\rho ]}^2(G,\mathcal{A})$ and $H^3(G,\text{U}(1))$ on a $G$-crossed braided tensor…