Relative Frobenius algebras are groupoids

Chris Heunen, Ivan Contreras, Alberto S. Cattaneo

Research output: Contribution to journalArticlepeer-review

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.
Original languageEnglish
Pages (from-to)114-124
Number of pages11
JournalJournal of pure and applied algebra
Volume217
Issue number1
DOIs
Publication statusPublished - 1 Jan 2013

Fingerprint Dive into the research topics of 'Relative Frobenius algebras are groupoids'. Together they form a unique fingerprint.

Cite this