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arXiv · 0911.0816

Pseudo-differential Operators and Regularity of Spectral Triples

Otgonbayar Uuye
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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.

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Otgonbayar Uuye. 2009-11-04. Pseudo-differential Operators and Regularity of Spectral Triples. https://arxiv.org/abs/0911.0816

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