1 on Von Neumann Spectral Triples

  • MOULAY - TAHAR BENAMEUR, THIERRY FACK
  • Published 2001

Abstract

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∞ von Neumann algebras. In the case of foliations, we identify… (More)

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Cite this paper

@inproceedings{BENAMEUR20011OV, title={1 on Von Neumann Spectral Triples}, author={MOULAY - TAHAR BENAMEUR and THIERRY FACK}, year={2001} }