# A differentiable monoid of smooth maps on Lie groupoids

@article{Amiri2017ADM, title={A differentiable monoid of smooth maps on Lie groupoids}, author={Habib Amiri and Alexander Schmeding}, journal={arXiv: Group Theory}, year={2017} }

In this article we investigate a monoid of smooth mappings on the space of arrows of a Lie groupoid and its group of units. The group of units turns out to be an infinite-dimensional Lie group which is regular in the sense of Milnor. Furthermore, this group is closely connected to the group of bisections of the Lie groupoid. Under suitable conditions, i.e. the source map of the Lie groupoid is proper, one also obtains a differentiable structure on the monoid and can identify the bisection group… Expand

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