On spectral triples in quantum gravity II

  • Johannes Aastrup

    SFB 478 "Geometrische Strukturen in der Mathematik", Münster
  • Jesper Møller Grimstrup

    Niels Bohr Institute, Copenhagen
  • Ryszard Nest

    University of Copenhagen


A semifinite spectral triple for an algebra canonically associated to canonical quantum gravity is constructed. The algebra is generated by based loops in a triangulation and its barycentric subdivisions. The underlying space can be seen as a gauge fixing of the unconstrained state space of Loop Quantum Gravity. This article is the second of two papers on the subject.

Cite this article

Johannes Aastrup, Jesper Møller Grimstrup, Ryszard Nest, On spectral triples in quantum gravity II. J. Noncommut. Geom. 3 (2009), no. 1, pp. 47–81

DOI 10.4171/JNCG/30