Noncommutative Geometry and Conformal Geometry. II. Connes-Chern character and the local equivariant index theorem

@article{Ponge2014NoncommutativeGA,
  title={Noncommutative Geometry and Conformal Geometry. II. Connes-Chern character and the local equivariant index theorem},
  author={Raphael Ponge and Han Wang},
  journal={arXiv: Differential Geometry},
  year={2014}
}
This paper is the second part of a series of papers on noncommutative geometry and conformal geometry. In this paper, we compute explicitly the Connes-Chern character of an equivariant Dirac spectral triple. The formula that we obtain for which was used in the first paper of the series. The computation has two main steps. The first step is the justification that the CM cocycle represents the Connes-Chern character. The second step is the computation of the CM cocycle as a byproduct of a new… 

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