Relative Frobenius algebras are groupoids

Chris Heunen, Ivan Contreras, Alberto S. Cattaneo

Research output: Contribution to journalArticlepeer-review

Abstract / Description of output

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.
Original languageEnglish
Pages (from-to)114-124
Number of pages11
JournalJournal of pure and applied algebra
Issue number1
Publication statusPublished - 1 Jan 2013


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