• Mathematics
  • Published 2009

LOCAL INDEX FORMULA AND TWISTED SPECTRAL TRIPLES

@inproceedings{Moscovici2009LOCALIF,
  title={LOCAL INDEX FORMULA AND TWISTED SPECTRAL TRIPLES},
  author={Henri Moscovici},
  year={2009}
}
We prove a local index formula for a class of twisted spectral triples of type III modeled on the transverse geometry of conformal foliations with locally constant transverse conformal factor. Compared with the earlier proofs in the untwisted case, the novel aspect resides in the fact that the twisted analogues of the JLO entire cocycle and of its retraction are no longer cocycles in their respective Connes bicomplexes. We show however that the passage to the infinite temperature limit… CONTINUE READING

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