Uniqueness of Unitary Structure for Unitarizable Fusion Categories

Author:

Reutter DavidORCID

Abstract

AbstractWe show that every unitarizable fusion category, and more generally every semisimple $$\textrm{C}^*$$ C -tensor category, admits a unique unitary structure. Our proof is based on a categorified polar decomposition theorem for monoidal equivalences between such categories. We prove analogous results for unitarizable braided fusion categories and module categories.

Funder

Max Planck Institute for Mathematics

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

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