Pseudodifferential calculus on a singular foliation
Iakovos Androulidakis
Centro de Matemática da Universidade do PortoGeorges Skandalis
Institut de Mathématiques de Jussieu
![Pseudodifferential calculus on a singular foliation cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-jncg-volume-5-issue-1.png&w=3840&q=90)
Abstract
In a previous paper ([1]), we associated a holonomy groupoid and a C*-algebra to any singular foliation . Using these, we construct the associated pseudodifferential calculus. This calculus gives meaning to a Laplace operator of any singular foliation on a compact manifold , and we show that it can be naturally understood as a positive, unbounded, self-adjoint operator on .
Cite this article
Iakovos Androulidakis, Georges Skandalis, Pseudodifferential calculus on a singular foliation. J. Noncommut. Geom. 5 (2011), no. 1, pp. 125–152
DOI 10.4171/JNCG/72