Quasifolds, Diffeology and Noncommutative Geometry
May 8, 2020
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. That makes a new bridge between diffeology and noncommutative geometry — beginning with the today classical example of irrational torus (also called quasitorus) — which associates a Morita class of C∗-algebra with an diffeomorphic class of quasifolds

Joint work with Elisa Prato.

Published in the Journal of Non Commutative Geometryhttps://ems.press/journals/jncg/articles/2490923shapeimage_3_link_0
Slides of the talk given at HUJI on Oct 19th, 2021https://mathematics.huji.ac.il/event/tg-patrick-iglesias-zemmour-orbifolds-quasifolds-and-c-algebras-diffeology?delta=0http://math.huji.ac.il/~piz/documents/QDANCG-Diapos.pdfshapeimage_4_link_0