Given two semisimple unital algebras $A$ and $B$, defined over $\mathbb{R}$ or $\mathbb{C}$, denote their categories of representations by $_A\mathcal{M}$ and $_B\mathcal{M}$ respectively. Can one describe the category of representations of $A \otimes_{\mathbb{C}} B$ as some type of "tensor product" of the categories $_A\mathcal{M}$ and $_B\mathcal{M}$?