Tannaka-Krein duality for compact groupoids I, representation theory

Simple item page
dc.creatorAmini, Massoud
dc.date2003-08-27
dc.date.accessioned2026-07-07T05:00:38Z
dc.date.available2026-07-07T05:00:38Z
dc.descriptionIn a series of papers, we have shown that from the representatio theory of a compact groupoid one can reconstruct the groupoid using the procedure similar to the Tannaka-Krein duality for compact groups. In this part we study continuous representations of compact groupoids. We show that irreducible representations have finite dimensional fibres. We prove the Schur's lemma, Gelfand-Raikov theorem and Peter-Weyl theorem for compact groupoids.
dc.description15 pages
dc.identifierhttps://arxiv.org/abs/math/0308259
dc.identifierhttp://arxiv.org/abs/math/0308259
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68393
dc.subjectOperator Algebras
dc.subjectRepresentation Theory
dc.subject43A65, 43A40
dc.titleTannaka-Krein duality for compact groupoids I, representation theory
dc.typetext

Files

Collections

arXiv