Poincaré Duality and Spinc Structures for Complete Noncommutative Manifolds
نویسنده
چکیده
We 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 Poincaré Duality implies the Morita equivalence of the ‘algebra of functions’ and the ‘Clifford algebra.’ AMS 2000 Subject Classification 46L08 and 46L89; also 46L80
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