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A Serre-Swan theorem for gerbe modules on etale Lie groupoids

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 نشر من قبل Christoph Schweigert
 تاريخ النشر 2014
  مجال البحث
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Given a bundle gerbe on a compact smooth manifold or, more generally, on a compact etale Lie groupoid $M$, we show that the corresponding category of gerbe modules, if it is non-trivial, 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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