The analytic index of elliptic pseudodifferential operators on a singular foliation
Operator Algebras
2010-05-03 v3 Differential Geometry
Abstract
In previous papers (arxiv:math/0612370 and arxiv:0909.1342) we defined the C*-algebra and the longitudinal pseudodifferential calculus of any singular foliation (M,F). Here we construct the analytic index of an elliptic operator as a KK-theory element, and prove that the same element can be obtained from an "adiabatic foliation" TF on , which we introduce here.
Keywords
Cite
@article{arxiv.1004.3797,
title = {The analytic index of elliptic pseudodifferential operators on a singular foliation},
author = {Iakovos Androulidakis and Georges Skandalis},
journal= {arXiv preprint arXiv:1004.3797},
year = {2010}
}
Comments
19 pages. Correction of typos in v2, v3.