K-duality for pseudomanifolds with isolated singularities
Résumé
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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