Poincare Duality and Spin^c Structures for Noncommutative Manifolds

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dc.creatorRennie, Adam
dc.date2001-07-13
dc.date.accessioned2026-07-07T04:28:33Z
dc.date.available2026-07-07T04:28:33Z
dc.descriptionWe prove a noncompact Serre-Swan theorem characterising modules which are sections of vector bundles not necessarily trivial at infinity. We then identify the endomorphism algebras of the resulting modules. The endomorphism results continue to hold for the generalisation of these modules to noncommutative, nonunital algebras. Finally, we apply these results to not necessarily compact noncommutative spin manifolds, proving that Poincare Duality implies the Morita equivalence of the `algebra of functions' and the `Clifford algebra.'
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0107013
dc.identifierhttp://arxiv.org/abs/math-ph/0107013
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56830
dc.subjectMathematical Physics
dc.subjectK-Theory and Homology
dc.subjectOperator Algebras
dc.titlePoincare Duality and Spin^c Structures for Noncommutative Manifolds
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