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Relative Frobenius algebras are groupoids (1112.1284v2)
Published 6 Dec 2011 in math.CT
Abstract: We functorially characterize groupoids as special dagger Frobenius algebras in the category of sets and relations. This is then generalized to a non-unital setting, by establishing an adjunction between H*-algebras in the category of sets and relations, and locally cancellative regular semigroupoids. Finally, we study a universal passage from the former setting to the latter.
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