Spectral action on noncommutative torus
Driss Essouabri
Université de Caen, FranceBruno Iochum
CPT, Marseille, FranceCyril Levy
CPT, Marseille, FranceAndrzej Sitarz
Jagiellonian University, Kraków, Poland
Abstract
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