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Article Dans Une Revue Letters in Mathematical Physics Année : 2019

A locally compact quantum group arising from quantization of the affine group of a local field

David Jondreville
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Résumé

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 affine group of a local field (which is not of characteristic 2, nor an extension of Q 2). Using results of De Commer about Galois objects in operator algebras, we obtain new examples of locally compact quantum groups in the setting of von Neumann algebras.
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Dates et versions

hal-01813979 , version 1 (12-06-2018)

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David Jondreville. A locally compact quantum group arising from quantization of the affine group of a local field. Letters in Mathematical Physics, 2019, ⟨10.1007/s11005-018-1126-4⟩. ⟨hal-01813979⟩

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