K-duality for pseudomanifolds with isolated singularities |
| |
| Authors: | Claire Debord |
| |
| Institution: | Laboratoire de Mathématiques, Université Blaise Pascal, Complexe universitaire des Cézeaux, 24 Av. des Landais, 63177 Aubière cedex, France |
| |
| 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∗-algebras C∗(G) and C(X). This is a first step toward an index theory for pseudomanifolds. |
| |
| Keywords: | Singular manifolds Smooth groupoids Kasparov bivariant K-theory Poincaré duality |
| 本文献已被 ScienceDirect 等数据库收录！ |
