Pseudo-differential Operators and Regularity of Spectral Triples
arXiv:0911.0816
Abstract
We introduce a notion of an algebra of generalized pseudo-differential operators and prove that a spectral triple is regular if and only if it admits an algebra of generalized pseudo-differential operators. We also provide a self-contained proof of the fact that the product of regular spectral triples is regular.
typos corrected; to appear in the Fields Institute Communications