Abstract:
Ultragraphs algebras generalized Exel-Laca and graph algebras. In this talk we describe ultragraphs, their associated edge shift spaces (which generalize SFT for infinite alphabets), and their associated $C^*$-algebras and groupoids. At the end, we present results regarding continuous orbit equivalence and full groups associated to ultragraphs, and describe how to apply these results to graph and Exel-Laca algebras.