Classical limit of Lie groupoid C^*-algebras
Operator Algebras
2015-06-26 v1 Quantum Algebra
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.
Keywords
Cite
@article{arxiv.math/9905177,
title = {Classical limit of Lie groupoid C^*-algebras},
author = {Birant Ramazan},
journal= {arXiv preprint arXiv:math/9905177},
year = {2015}
}
Comments
4 pages, in french, LaTeX 2.09, submitted to Comptes Rendus Acad. Sci. Paris