Kreimer-Connes-Moscovici Algebras

  • José M. Gracia-Bondía
  • Joseph C. Várilly
  • Héctor Figueroa
Part of the Birkhäuser Advanced Texts book series (BAT)

Abstract

The main purpose of this chapter is to discuss the Hopf algebras introduced by Connes and Moscovici in connection with the index problem for K-cycles on foliations 114, and the ones introduced by Kreimer in connection with perturbative renormalization theory 296. Both types of Hopf algebras were originally found as organizing principles to simplify some computations. This is not unexpected, in view of our discussion at the end of Chapter 1.

Keywords

Filtration Manifold Covariance Convolution Sine 

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Copyright information

© Springer Science+Business Media New York 2001

Authors and Affiliations

  • José M. Gracia-Bondía
    • 1
  • Joseph C. Várilly
    • 2
  • Héctor Figueroa
    • 2
  1. 1.Departamento de FísicaUniversidad de Costa RicaSan JoséCosta Rica
  2. 2.Departamento de MatemáticasUniversidad de Costa RicaSan JoséCosta Rica

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