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

Abstract

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.

References in corpus (2)

• Curved noncommutative torus and Gauss--Bonnet
• Weyl's Law and Connes' Trace Theorem for Noncommutative Two Tori

Cited by in corpus (6)

• Spectral Metric and Einstein Functionals
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• Spectral Torsion
• On almost commutative Friedmann-Lemaître-Robertson-Walker geometries
• The local counting function of operators of Dirac and Laplace type