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arXiv · 1906.09710

Uniqueness of unitary structure for unitarizable fusion categories

David Reutter
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Abstract

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.

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David Reutter. 2019-06-24. Uniqueness of unitary structure for unitarizable fusion categories. https://doi.org/10.1007/s00220-022-04425-7

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