Noncommutative Residue and Canonical Trace on Noncommutative Tori. Uniqueness Results

In this paper, we establish uniqueness theorems for the noncommutative residue and the canonical trace on pseudodifferential operators on noncommutative tori of arbitrary dimension. The former is the unique trace up to a constant multiple of integer order pseudodifferential operators. The latter is...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2020
Main Author: Ponge, Raphaël
Format: Article
Language:English
Published: Інститут математики НАН України 2020
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/210787
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Noncommutative Residue and Canonical Trace on Noncommutative Tori. Uniqueness Results. Raphaël Ponge. SIGMA 16 (2020), 061, 31 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine