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The canonical trace and the noncommutative residue on the noncommutative torus

URN to cite this document:
urn:nbn:de:bvb:355-epub-289035
Lévy, Cyril ; Neira-Jiménez, Carolina ; Paycha, Sylvia
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Date of publication of this fulltext: 14 Oct 2013 08:11


Abstract

Using a global symbol calculus for pseudodifferential operators on tori, we build a canonical trace on classical pseudodifferential operators on non- commutative tori in terms of a canonical discrete sum on the underlying toroidal symbols. We characterise the canonical trace on operators on the noncommutative torus as well as its underlying canonical discrete sum on symbols of fixed (resp. any) ...

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