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arXiv · 1004.3797

The analytic index of elliptic pseudodifferential operators on a singular foliation

Iakovos Androulidakis·Georges Skandalis
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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 $M \times \R$, which we introduce here.

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Iakovos Androulidakis, Georges Skandalis. 2010-04-30. The analytic index of elliptic pseudodifferential operators on a singular foliation. https://arxiv.org/abs/1004.3797

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