Functoriality and Morita equivalence of operator algebras and Poisson manifolds associated to groupoids

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dc.creatorLandsman, N. P.
dc.date2000-08-25
dc.date2000-11-29
dc.date.accessioned2026-07-07T04:27:57Z
dc.date.available2026-07-07T04:27:57Z
dc.descriptionIt is well known that a measured groupoid G defines a von Neumann algebra W*(G), and that a Lie groupoid G canonically defines both a C*-algebra C*(G) and a Poisson manifold A*(G). We show that the maps G -> W*(G), G -> C*(G) and G -> A*(G) are functorial with respect to suitable categories. In these categories Morita equivalence is isomorphism of objects, so that these maps preserve Morita equivalence.
dc.description23 pages, results on measured groupoids and von Neumann algebras added
dc.identifierhttps://arxiv.org/abs/math-ph/0008036
dc.identifierhttp://arxiv.org/abs/math-ph/0008036
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56613
dc.subjectMathematical Physics
dc.subjectOperator Algebras
dc.subjectSymplectic Geometry
dc.subject46L08; 22A22; 53D17
dc.titleFunctoriality and Morita equivalence of operator algebras and Poisson manifolds associated to groupoids
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