Coordinates for non-integrable Lie algebroids


Androulidakis I. Coordinates for non-integrable Lie algebroids. [Internet]. Forthcoming.


We construct local coordinates for the Weinstein groupoid of a non-integrable Lie algebroid. To this end, we reformulate the notion of bi-submersion in a completely algebraic way and prove the existence of bi-submersions as such for the Weinstein groupoid. This implies that a C*-algebra can be attached to every Lie algebroid.

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