Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9495543 | Journal of Functional Analysis | 2005 | 25 Pages |
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 Câ-algebras Câ(G) and C(X). This is a first step toward an index theory for pseudomanifolds.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Claire Debord, Jean-Marie Lescure,