Pseudo-differential operators and regularity of spectral triples

Uuye, Otgonbayar 2011. Pseudo-differential operators and regularity of spectral triples. Khalkhali, Masoud and Yu, Guoliang, eds. Perspectives on Noncommutative Geometry, Fields Institute Communications, vol. 61. Providence, RI: American Mathematical Society & The Fields Institute for Research in Mathematical Sciences, pp. 153-163.

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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.

Item Type:	Book Section
Date Type:	Publication
Status:	Published
Schools:	Mathematics
Subjects:	Q Science > QA Mathematics
Additional Information:	This volume represents the proceedings of the Noncommutative Geometry Workshop that was held as part of the thematic program on operator algebras at the Fields Institute in May 2008.
Publisher:	American Mathematical Society & The Fields Institute for Research in Mathematical Sciences
ISBN:	9780821848494
Related URLs:	Publisher
Last Modified:	19 Mar 2016 22:59
URI:	https://orca.cardiff.ac.uk/id/eprint/34005

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