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Article Dans Une Revue Reports on Mathematical Physics Année : 2011

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.

Dates et versions

hal-00476280 , version 1 (26-04-2010)

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Bruno Iochum, Thierry Masson, Thomas Schucker, Andrzej Sitarz. Compact $\kappa$-deformation and spectral triples. Reports on Mathematical Physics, 2011, 68 (1), pp.37-64. ⟨10.1016/S0034-4877(11)60026-8⟩. ⟨hal-00476280⟩
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