标题： $κ$变形，仿射群和谱三元组 显示英文标题

标题： $κ$-deformation, affine group and spectral triples

摘要： 一个二维$\kappa$变形的正则谱三元组被提出。 它是基于自然关联的仿射群$G$，$C^*(G)$的一个光滑子代数，以及由该子代数上的两个导子定义的算子$\caD$。 虽然$\caD$的度量维数为二，但该三元组的谱维数为一。 这绕过了在\cite{IochMassSchu11a}中描述的关于紧化$\kappa$变形的有限可求和谱三元组存在性的障碍。 显示英文摘要

摘要： 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.