K-duality for pseudomanifolds with isolated singularities

Details K-duality for pseudomanifolds with isolated singularities K-duality for pseudomanifolds with isolated singularities

2002-12-09

arxiv.org/abs/math/0212120v3

Mathematics

Operator Algebras

27 pages, To appear in J. of Functional Analysis

Scientific paper

We associate to a pseudomanifold $X$ with isolated singularities a
differentiable groupoid $G$ which plays the role of the tangent space of $X$.
We construct a Dirac element $D$ and a Dual Dirac element $\lambda$ such that
$D$ and $\lambda$ induce a Poincar{\'e} duality in $K$-theory between the
$C^*$-algebras $C(X)$ and $C^*(G)$.

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