# The analytic index of elliptic pseudodifferential operators on a singular foliation - Mathematics > Operator Algebras

Abstract: In previous papers arxiv:math-0612370 and arxiv:0909.1342 we defined theC*-algebra and the longitudinal pseudodifferential calculus of any singularfoliation M,F. Here we construct the analytic index of an elliptic operatoras a KK-theory element, and prove that the same element can be obtained from an-adiabatic foliation- TF on $M \times \R$, which we introduce here.

Author: Iakovos Androulidakis, Georges Skandalis

Source: https://arxiv.org/