224 citations · 1.1k across the 28 of their papers we have counts for
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hep-th2007★ 16 cited
Fourier analysis on the affine group, quantization and noncompact Connes geometries
Victor Gayral, Jose M. Gracia-Bondia, Joseph C. Varilly
We find the Stratonovich-Weyl quantizer for the nonunimodular affine group of the line. A noncommutative product of functions on the half-plane, underlying a noncompact spectral tr…
math.OA2007
Orbifolds are not commutative geometries
Adam Rennie, Joseph C. Varilly
In this note we show that the crucial orientation condition for commutative geometries fails for the natural spectral triple of an orbifold M/G.