2016/04/28 by Marat Aukhadiev, Aukhadiev, Marat
Computer Science · Decision Sciences · #18B40 #20L05 #20M18 #46L05 #Category Theory (math.CT) #FOS: Mathematics #Fuzzy and Soft Set Theory #Operator Algebras (math.OA) #semigroups and automata theory
paper · pdf · doi:10.48550/arxiv.1604.08585
openalex publication_date 2016/04/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A simple observation, showing that every groupoid becomes an inverse semigroup after adding one element. In such inverse semigroups all idempotents are mutually orthogonal. This fact implies that every C*-algebra of a discrete groupoid is a C*-algebra of an inverse semigroup.