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math.OA2018★ 4 cited
A locally compact quantum group arising from quantization of the affine group of a local field
David Jondreville
Using methods coming from non-formal equivariant quantization, we construct in this short note a unitary dual 2-cocycle on a discrete family of quotient groups of subgroups of the…
math.OA2017
Quantization of the affine group of a local field
Victor Gayral, David Jondreville
For a non Archimedean local field which is not of characteristic , nor an extension of , we construct a pseudo-differential calculus covariant under a unimodular su…
math.OA2014★ 2 cited
Deformation Quantization for actions of
Victor Gayral, David Jondreville
The main objective of this article is to develop the theory of deformation of -algebras endowed with a group action, from the perspective of non-formal equivariant quantizatio…