Author:
Androulidakis Iakovos,Skandalis Georges
Abstract
AbstractIn previous papers ([1, 2]) we defined the C*-algebra and the longitudinal pseudodifferential calculus of any singular foliation (M,). In the current paper we construct the analytic index of an elliptic operator as a KK-theory element, and prove that this element can be obtained from an “adiabatic foliation” on M×ℝ, which we introduce here.
Publisher
Cambridge University Press (CUP)
Subject
Geometry and Topology,Algebra and Number Theory
Reference18 articles.
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