Grothendieck Rings of Module Categories: Localizations, Strata, and Radicals

Riley Chinburg, Dmitri Nikshych

For a non-degenerate braided fusion category $\mathcal{B}$, we study the Grothendieck ${\mathbb{Z}}_{+}$-ring of $\mathcal{B}$-module categories. We define a convolution of étale algebras…