κ-deformation, affine group and spectral triples

• Autorzy: Bruno Iochum , Thierry Masson , Andrzej Sitarz
• Języki publikacji: EN

Abstrakty

EN

A regular spectral triple is proposed for a two-dimensional κ-deformation. It is based on the naturally associated affine group G, a smooth subalgebra of C*(G), and an operator 𝓓 defined by two derivations on this subalgebra. While 𝓓 has metric dimension two, the spectral dimension of the triple is one. This bypasses an obstruction described in [35] on existence of finitely-summable spectral triples for a compactified κ-deformation.

Kategorie tematyczne

• 58J42: Noncommutative global analysis, noncommutative residues

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2012
• Tom: 98
• Numer: 1
• Strony: 261-291

Daty

wydano

2012

Twórcy

autor

Bruno Iochum

• Centre de Physique Théorique, Aix-Marseille Univ., CNRS UMR 7332, Univ. Sud Toulon Var, Case 907 - Campus de Luminy, F-13288 Marseille Cedex 9, France

autor

Thierry Masson

• Centre de Physique Théorique, Aix-Marseille Univ., CNRS UMR 7332, Univ. Sud Toulon Var, Case 907 - Campus de Luminy, F-13288 Marseille Cedex 9, France

autor

Andrzej Sitarz

• Institute of Physics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland
• Copernicus Center for Interdisciplinary Studies, Sławkowska 17, 31-016 Kraków, Poland

Identyfikatory

DOI

10.4064/bc98-0-11