Spectral action in noncommutative geometry: An example
Mathematical Physics
2015-12-23 v1 math.MP
Abstract
This is a report on a joint work [12] with D. Essouabri, C. Levy and A. Sitarz. The spectral action on noncommutative torus is obtained, using a Chamseddine--Connes formula via computations of zeta functions. The importance of a Diophantine condition is outlined as far as the difficulties to go beyond. Some results on holomorphic continuation of series of holomorphic functions are presented.
Keywords
Cite
@article{arxiv.1512.07077,
title = {Spectral action in noncommutative geometry: An example},
author = {B Iochum},
journal= {arXiv preprint arXiv:1512.07077},
year = {2015}
}