On von Neumann spectral triples

M-T. Benameur; T. Fack

On von Neumann spectral triples

K理论与同调 2011-04-26 v4 算子代数

作者: M-T. Benameur , T. Fack

摘要

We define the notion of von Neumann spectral triple and consider the associated index problem. We compute the analytic Chern-Connes character of such a von Neumann spectral triple and prove the corresponding local formula for its Hochschild class. This formula involves the Dixmier trace for $II_{\infty}$ von Neumann algebras. In the case of foliations, we identify this Dixmier trace with the corresponding measured Wodzicki residue.

关键词

trace formula

引用

@article{arxiv.math/0012233,
  title  = {On von Neumann spectral triples},
  author = {M-T. Benameur and T. Fack},
  journal= {arXiv preprint arXiv:math/0012233},
  year   = {2011}
}

备注

This paper has been withdrawn by the authors

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