Spectral triples for pseudomanifolds with isolated singularity

We use elliptic operators of Fuchs type on an even dimensional pseudonlanifold with an isolated singularity to construct spectral triples. This class of operators includes Dirac operators with coefficients in flat bundles in the radial direction and, under some hypothesis, these operators generate the even K-homology group tensorised by C of the pseudomanifold. Moreover, their Chern character is computed.