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.
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© 2001 Springer Science+Business Media New York
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Gracia-Bondía, J.M., Várilly, J.C., Figueroa, H. (2001). Kreimer-Connes-Moscovici Algebras. In: Elements of Noncommutative Geometry. Birkhäuser Advanced Texts. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0005-5_14
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DOI: https://doi.org/10.1007/978-1-4612-0005-5_14
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-6569-6
Online ISBN: 978-1-4612-0005-5
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