Compact $\kappa$-deformation and spectral triples
Résumé
Using $C^*$-algebras of groups, we construct discrete versions of $\kappa$-Minkowski space related to a certain compactness of the time coordinate. These models lead naturally to Baumslag--Solitar groups and dynamical systems. We discuss the construction and existence questions of finitely-summable spectral triples on them.