Groupoid and Inverse Semigroup Presentations of Ultragraph $C^{\ast }$-Algebras

Alberto Marrero, Paul S. Muhly

Inspired by the work of Paterson on $C^{\ast }$-algebras of directed graphs, we show how to associate a groupoid ${\mathfrak{G}}_{\mathcal{G}}$ to an ultragraph $\mathcal{G}$ in such…