Spectral triples are constructed for noncommutative kinematics with G_NC parameters, and localized U(1)_* gauge perturbations are shown to converge strongly in resolvent to the minimally coupled Dirac operator as cutoff radius tends to infinity.
[arXiv:hep-th/9908142]
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Spectral asymptotics for negative fractional powers of hypoelliptic operators on graded Lie groups generalize Birman-Solomyak and imply a version of Connes' integration formula.
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From Noncommutative Kinematics to \(U(1)_{\star}\) Gauge Theory: A Family of Spectral Triples with Localized Gauge-induced Perturbations
Spectral triples are constructed for noncommutative kinematics with G_NC parameters, and localized U(1)_* gauge perturbations are shown to converge strongly in resolvent to the minimally coupled Dirac operator as cutoff radius tends to infinity.
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Weyl asymptotic formulas in the nilpotent Lie group setting
Spectral asymptotics for negative fractional powers of hypoelliptic operators on graded Lie groups generalize Birman-Solomyak and imply a version of Connes' integration formula.