1208.1140 (B. Iochum et al.)

$κ$-deformation, affine group and spectral triples    [PDF]

B. Iochum, T. Masson, A. Sitarz

A regular spectral triple is proposed for a two-dimensional $\kappa$-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 $\kappa$-deformation.

View original: http://arxiv.org/abs/1208.1140