Noncommutative geometry and diffeology: The case of orbifolds

  • Patrick Iglesias-Zemmour

    Aix-Marseille Université, Marseille, France
  • Jean-Pierre Laffineur

    Université Paris Diderot, France


We establish a first structural link between noncommutative geometry and diffeology, in the particular case of orbifolds. Precisely, we associate a structure groupoid with every atlas of a diffeological orbifold. We show that different atlases give equivalent groupoids, that generates strongly Morita equivalent -algebras, according to standards. Thus, diffeomorphisms translate naturally into Morita equivalences.

Cite this article

Patrick Iglesias-Zemmour, Jean-Pierre Laffineur, Noncommutative geometry and diffeology: The case of orbifolds. J. Noncommut. Geom. 12 (2018), no. 4, pp. 1551–1572

DOI 10.4171/JNCG/319