Classical limit of Lie groupoid C^*-algebras

Mathematics – Operator Algebras

Scientific paper

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4 pages, in french, LaTeX 2.09, submitted to Comptes Rendus Acad. Sci. Paris

Scientific paper

Let G be a Lie groupoid and L his Lie algebroid. We give a definition of the
classical limit of a C^*-bundle and we use the tangent groupoid associated to G
to show that the Poisson structure on L is the classical limit of a C^*-bundle.

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