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arXiv · 1208.1140

$κ$-deformation, affine group and spectral triples

B. Iochum·T. Masson·A. Sitarz
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Abstract

A regular spectral triple is proposed for a two-dimensional $κ$-deformation. It is based on the naturally associated affine group $G$, a smooth subalgebra of $C^*(G)$, and an operator $\caD$ defined by two derivations on this subalgebra. While $\caD$ has metric dimension two, the spectral dimension of the triple is one. This bypasses an obstruction described in \cite{IochMassSchu11a} on existence of finitely-summable spectral triples for a compactified $κ$-deformation.

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B. Iochum, T. Masson, A. Sitarz. 2012-08-06. $κ$-deformation, affine group and spectral triples. https://arxiv.org/abs/1208.1140

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