Noncommutative residues for pseudo-differential operators on the noncommutative two-torus
type: Item
instance of: scholarly article
title: Noncommutative residues for pseudo-differential operators on the noncommutative two-torus
zbMATH Open document ID: 1266.58010
author: Farzad Fathizadeh
author: M. W. Wong
published in: Journal of Pseudo-Differential Operators and Applications
publication date: 2012-11-09T00:00:00Z
review text: The paper under review contains a definition of a residue trace for the pseudo-differential calculus on the noncommutative torus. The main result of the paper states that any trace on the full symbol algebra for this calculus is a scalar multiple of the residue trace.
reviewed by: Magnus Goffeng
Mathematics Subject Classification ID: 58J42
Mathematics Subject Classification ID: 58J40
zbMATH DE Number: 6104296
zbMATH Keywords: noncommutative residues
zbMATH Keywords: noncommutative torus
zbMATH Keywords: pseudo-differential operators
MaRDI profile type: Publication
full work available at URL: s11868-011-0030-9
OpenAlex ID: W2013164360
cites work: Q3802075
cites work: Q4711621
cites work: Non-commutative residues for anisotropic pseudo-differential operators in \(\mathbb R^n\)
cites work: Q3871430
cites work: Q4310044
cites work: The Gauss-Bonnet theorem for the noncommutative two torus
cites work: The noncommutative residue for manifolds with boundary
cites work: A new proof of Weyl's formula on the asymptotic distribution of eigenvalues
cites work: Elliptic mixed, transmission and singular crack problems
cites work: Algebraic aspects of nonlinear differential equations
cites work: Q3509506
cites work: Q5425073
cites work: Mellin Operators with Asymptotics on Manifolds with Corners
cites work: Q4256625
DOI: 10.1007/S11868-011-0030-9
description: scientific article; zbMATH DE number 6104296