Continuous representations of groupoids

• Autores: Rogier Bos
• Localización: Houston journal of mathematics, ISSN 0362-1588, Vol. 37, Nº 3, 2011, págs. 807-844
• Idioma: inglés
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• Resumen

  • 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.