A Tannaka Theorem for Proper Lie Groupoids - Mathematics > Representation TheoryReport as inadecuate




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Abstract: By replacing the category of smooth vector bundles over a manifold with thecategory of what we call smooth Euclidean fields, which is a proper enlargementof the former, and by considering smooth actions of Lie groupoids on smoothEuclidean fields, we are able to prove a Tannaka duality theorem for proper Liegroupoids. The notion of smooth Euclidean field we introduce here is thesmooth, finite dimensional analogue of the usual notion of continuous Hilbertfield.



Author: Giorgio Trentinaglia

Source: https://arxiv.org/



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