论文标题

准文学,差异和非共同几何形状

Quasifolds, Diffeology and Noncommutative Geometry

论文作者

Iglesias-Zemmour, Patrick, Prato, Elisa

论文摘要

将对象嵌入quasifolds之后,我们将c*agebra与任何Quasifold的每个地图集相关联,并显示不同地图集如何给Morita等效代数。这建立了差异学和非交通性几何形状(以当今非理性福鲁赛的经典示例开始)之间的新桥梁,该几何形状将C* - 代数的莫里塔类别与差异类的Quasifold类相关联。

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.

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