Quasifolds, diffeology and noncommutative geometry
Patrick Iglesias-Zemmour
The Hebrew University of Jerusalem, IsraelElisa Prato
Università di Firenze, Italy
![Quasifolds, diffeology and noncommutative geometry cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-jncg-volume-15-issue-2.png&w=3840&q=90)
Abstract
After embedding the objects quasifolds into the category Diffeology, we associate a -algebra with every atlas of any quasifold, and show how different atlases give Morita equivalent algebras. This builds a new bridge between diffeology and noncommutative geometry – beginning with the today classical example of the irrational torus – which associates a Morita class of -algebras with a diffeomorphic class of quasifolds.
Cite this article
Patrick Iglesias-Zemmour, Elisa Prato, Quasifolds, diffeology and noncommutative geometry. J. Noncommut. Geom. 15 (2021), no. 2, pp. 735–759
DOI 10.4171/JNCG/419