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Paper detail

Uniqueness of unitary structure for unitarizable fusion categories

We show that every unitarizable fusion category, and more generally every semisimple 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.

preprint2020arXivOpen access
David Reutter
math.CTmath.QA
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David Reutter

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