A Serre-swan Theorem for Gerbe Modules on Étale Lie Groupoids
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چکیده
Given a torsion bundle gerbe on a compact smooth manifold or, more generally, on a compact étale Lie groupoid M , we show that the corresponding category of gerbe modules is equivalent to the category of finitely generated projective modules over an Azumaya algebra on M . This result can be seen as an equivariant Serre-Swan theorem for twisted vector bundles.
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تاریخ انتشار 2014