Bicategories of operator algebras and Poisson manifolds

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dc.creatorLandsman, N. P.
dc.date2000-08-02
dc.date2000-08-21
dc.date.accessioned2026-07-07T04:27:55Z
dc.date.available2026-07-07T04:27:55Z
dc.descriptionIt is well known that rings are the objects of a bicategory, whose arrows are bimodules, composed through the bimodule tensor product. We give an analogous bicategorical description of C*-algebras, von Neumann algebras, Lie groupoids, symplectic groupoids, and Poisson manifolds. The upshot is that known definitions of Morita equivalence for any of these cases amount to isomorphism of objects in the pertinent bicategory.
dc.description15 pages. Style file updated (refs. were not numbered)
dc.identifierhttps://arxiv.org/abs/math-ph/0008003
dc.identifierhttp://arxiv.org/abs/math-ph/0008003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56599
dc.subjectMathematical Physics
dc.subjectCategory Theory
dc.subjectOperator Algebras
dc.subjectSymplectic Geometry
dc.subject18D05; 46L08; 22A22; 53D17
dc.titleBicategories of operator algebras and Poisson manifolds
dc.typetext

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