Pseudo-differential Operators and Regularity of Spectral Triples
Operator Algebras
2011-11-11 v4 K-Theory and Homology
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.
Keywords
Cite
@article{arxiv.0911.0816,
title = {Pseudo-differential Operators and Regularity of Spectral Triples},
author = {Otgonbayar Uuye},
journal= {arXiv preprint arXiv:0911.0816},
year = {2011}
}
Comments
typos corrected; to appear in the Fields Institute Communications