Pseudo-differential Operators and Regularity of Spectral Triples

Otgonbayar Uuye · arXiv (Cornell University) · 2009

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.

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