Classical limit of Lie groupoid C^*-algebras
arXiv:math/9905177 · doi:10.1016/S0764-4442(00)80009-9
Abstract
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.
4 pages, in french, LaTeX 2.09, submitted to Comptes Rendus Acad. Sci. Paris