Quasifolds, Diffeology and Noncommutative Geometry
Differential Geometry
2022-10-25 v2
Abstract
After embedding the objects quasifolds into the category {Diffeology}, we associate a C*-agebra 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 C*-algebras with a diffeomorphic class of quasifolds.
Cite
@article{arxiv.2005.09283,
title = {Quasifolds, Diffeology and Noncommutative Geometry},
author = {Patrick Iglesias-Zemmour and Elisa Prato},
journal= {arXiv preprint arXiv:2005.09283},
year = {2022}
}
Comments
21 pages, 3 figures, final version to appear in J. Noncommut. Geom., notes added in introduction