34 citations · 206 across the 41 of their papers we have counts for
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Connes Trace Theorem for Curved Noncommutative Tori. Application to Scalar Curvature
Raphael Ponge
In this paper we prove a version of Connes' trace theorem for noncommutative tori of any dimension~. This allows us to recover and improve earlier versions of this result…
Functional Calculus for Elliptic Operators on Noncommutative Tori, I
Gihyun Lee, Raphael Ponge
In this paper, we introduce a parametric pseudodifferential calculus on noncommutative -tori which is a natural nest for resolvents of elliptic pseudodifferential operators. Unl…
Noncommutative Residue and Canonical Trace on Noncommutative Tori. Uniqueness Results
Raphaël Ponge
In this paper we establish uniqueness theorems for the noncommutative residue and the canonical trace on pseudodifferential operators on noncommutative tori of arbitrary dimension.…
Laplace-Beltrami Operators on Noncommutative Tori
Hyunsu Ha, Raphael Ponge
In this paper, we construct Laplace-Beltrami operators associated with arbitrary Riemannian metrics on noncommutative tori of any dimension. These operators enjoy the main properti…