Bicommutant categories from fusion categories

Understand

Bicommutant categories are higher categorical analogs of von Neumann algebras that were recently introduced by the first author.

• In this article, we prove that every unitary fusion category gives an example of a bicommutant category.
• This theorem categorifies the well known result according to which a finite dimensional *-algebra that can be faithfully represented on a Hilbert space is in fact a von Neumann algebra.