On Morita equivalence for simple Generalized Weyl algebras

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dc.creatorRichard, Lionel
dc.creatorSolotar, Andrea
dc.date2008-05-26
dc.date.accessioned2026-07-07T09:40:55Z
dc.date.available2026-07-07T09:40:55Z
dc.descriptionWe give a necessary condition for Morita equivalence of simple Generalized Weyl algebras of classical type. We propose a reformulation of Hodges' result, which describes Morita equivalences in case the polynomial defining the Generalized Weyl algebra has degree 2, in terms of isomorphisms of quantum tori, inspired by similar considerations in noncommutative differential geometry. We study how far this link can be generalized for $n\ge 3$.
dc.description17 pages
dc.identifierhttps://arxiv.org/abs/0805.3933
dc.identifierhttp://arxiv.org/abs/0805.3933
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/161648
dc.subjectK-Theory and Homology
dc.subjectQuantum Algebra
dc.subject16E40; 16E65; 16W70; 17B37
dc.titleOn Morita equivalence for simple Generalized Weyl algebras
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