Envelope Algebras of Partial Actions as Groupoid C*-Algebras

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dc.creatorExel, R.
dc.creatorGiordano, T.
dc.creatorGoncalves, D.
dc.date2008-06-19
dc.date.accessioned2026-07-07T09:45:38Z
dc.date.available2026-07-07T09:45:38Z
dc.descriptionWe describe the envelope C*-algebra associated to a partial action of a countable discrete group on a locally compact space as a groupoid C*-algebra (more precisely as a C*-algebra from an equivalence relation) and we use our approach to show that, for a large class of partial actions of Z on the Cantor set, the envelope C*-algebra is an AF-algebra. We also completely characterize partial actions of a countable discrete group on a compact space such that the envelope action acts in a Hausdorff space.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/0806.3262
dc.identifierhttp://arxiv.org/abs/0806.3262
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/163263
dc.subjectOperator Algebras
dc.subject47-xx
dc.titleEnvelope Algebras of Partial Actions as Groupoid C*-Algebras
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