Pseudodifferential calculus on a singular foliation
Differential Geometry
2009-10-09 v3 Operator Algebras
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).
Cite
@article{arxiv.0909.1342,
title = {Pseudodifferential calculus on a singular foliation},
author = {Iakovos Androulidakis and Georges Skandalis},
journal= {arXiv preprint arXiv:0909.1342},
year = {2009}
}
Comments
29 pages, minor changes in section 6. Submitted to JNCG. Version 3 only has one extra footnote in page 1 (acknowledgment of partial support)