Wodzicki residue and minimal operators on a noncommutative 4-dimensional torus

arxiv: 1306.3705 · v1 · pith:GOFOKEM2new · submitted 2013-06-16 · 🧮 math.QA · math-ph· math.MP

Wodzicki residue and minimal operators on a noncommutative 4-dimensional torus

Andrzej Sitarz This is my paper

classification 🧮 math.QA math-phmath.MP

keywords noncommutativeoperatordimensionalminimalresiduetoruswodzickicase

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We compute the Wodzicki residue of the inverse of a conformally rescaled Laplace operator over a 4-dimensional noncommutative torus. We show that the straightforward generalization of the Laplace-Beltrami operator to the noncommutative case is not the minimal operator.

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Wodzicki residue and minimal operators on a noncommutative 4-dimensional torus

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