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arXiv · 1112.1284

Relative Frobenius algebras are groupoids

Chris Heunen·Ivan Contreras·Alberto S. Cattaneo
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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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Chris Heunen, Ivan Contreras, Alberto S. Cattaneo. 2012-04-01. Relative Frobenius algebras are groupoids. https://doi.org/10.1016/j.jpaa.2012.04.002

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