K-duality for pseudomanifolds with isolated singularities

Abstract : We associate to a pseudomanifold X with a conical singularity a differentiable groupoid G which plays the role of the tangent space of X : We construct a Dirac element and a dual Dirac element which induce a K-duality between the C Ã-algebras C Ã ðGÞ and CðX Þ: This is a first step toward an index theory for pseudomanifolds.
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Claire Debord, Jean-Marie Lescure. K-duality for pseudomanifolds with isolated singularities. Journal of Functional Analysis, Elsevier, 2005, 219, pp.109 - 133. ⟨10.1016/j.jfa.2004.03.017⟩. ⟨hal-02377184⟩

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