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

David Jondreville

doi:10.1007/s11005-018-1126-4

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arXiv · 1806.06565

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

David Jondreville

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Abstract

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 $\mathbb{Q}_2$). 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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David Jondreville. 2018-06-18. A locally compact quantum group arising from quantization of the affine group of a local field. https://doi.org/10.1007/s11005-018-1126-4

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