Functoriality and Morita equivalence of operator algebras and Poisson manifolds associated to groupoids
Landsman, N. P.
arXiv, 0008036 / Harvested from arXiv
Text on arXiv
It is well known that a measured groupoid G defines a von Neumann algebra W*(G), and that a Lie groupoid G canonically defines both a C*-algebra C*(G) and a Poisson manifold A*(G). We show that the maps G -> W*(G), G -> C*(G) and G -> A*(G) are functorial with respect to suitable categories. In these categories Morita equivalence is isomorphism of objects, so that these maps preserve Morita equivalence.
Publié le : 2000-08-25
Classification:  Mathematical Physics,  Mathematics - Operator Algebras,  Mathematics - Symplectic Geometry,  46L08,  22A22,  53D17 
@article{0008036,
     author = {Landsman, N. P.},
     title = {Functoriality and Morita equivalence of operator algebras and Poisson
  manifolds associated to groupoids},
     journal = {arXiv},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0008036}
}

Landsman, N. P. Functoriality and Morita equivalence of operator algebras and Poisson
  manifolds associated to groupoids. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0008036/