Spectral action on noncommutative torus

  • Driss Essouabri

    Université de Caen, France
  • Bruno Iochum

    CPT, Marseille, France
  • Cyril Levy

    CPT, Marseille, France
  • Andrzej Sitarz

    Jagiellonian University, Kraków, Poland


The spectral action on the noncommutative torus is obtained using a Chamseddine–Connes formula via computations of zeta functions. The importance of a Diophantine condition is outlined. Several results on holomorphic continuation of series of holomorphic functions are obtained in this context.

Cite this article

Driss Essouabri, Bruno Iochum, Cyril Levy, Andrzej Sitarz, Spectral action on noncommutative torus. J. Noncommut. Geom. 2 (2008), no. 1, pp. 53–123

DOI 10.4171/JNCG/16