Resumen de Continuous representations of groupoids

Rogier Bos

• We introduce unitary representations of continuous groupoids on continuous fields of Hilbert spaces. We investigate some properties of these objects, using several examples. We present a palette of results, including, among others: a comparision of the different notions of continuity for representations, a description of the representations of families of groups, and a version of the Peter-Weyl theorem for groupoids.