$\kappa$-deformation, affine group and spectral triples - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Banach Center Publications Année : 2012

$\kappa$-deformation, affine group and spectral triples

Résumé

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.

Dates et versions

hal-00963718 , version 1 (21-03-2014)

Identifiants

Citer

Bruno Iochum, T. Masson, A. Sitarz. $\kappa$-deformation, affine group and spectral triples. Banach Center Publications, 2012, 98, pp.261--291. ⟨10.4064/bc98-0-11⟩. ⟨hal-00963718⟩
107 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More