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arXiv · 0909.1342

Pseudodifferential calculus on a singular foliation

Iakovos Androulidakis·Georges Skandalis
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Abstract

In a previous paper ([1]), we associated a holonomy groupoid and a C*-algebra to any singular foliation (M,F). Using these, we construct the associated pseudodifferential calculus. This calculus gives meaning to a Laplace operator of any singular foliation F on a compact manifold M, and we show that it can be naturally understood as a positive, unbounded, self-adjoint operator on L2(M).

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Iakovos Androulidakis, Georges Skandalis. 2009-10-09. Pseudodifferential calculus on a singular foliation. https://arxiv.org/abs/0909.1342

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