Abstract
We show that the bigroupoid of semisimple symmetric Frobenius algebras over an algebraically closed field and the bigroupoid of Calabi–Yau categories are equivalent. To this end, we construct a trace on the category of finitely-generated representations of a symmetric, semisimple Frobenius algebra, given by the composite of the Frobenius form with the Hattori-Stallings trace.
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