Article Dans Une Revue Journal of Noncommutative Geometry Année : 2015

Spectral triples and Toeplitz operators

M. Englis
  • Fonction : Auteur
Bruno Iochum

Résumé

We give examples of spectral triples, in the sense of A. Connes, constructed using the algebra of Toeplitz operators on smoothly bounded strictly pseudoconvex domains in $C^n$, or the star product for the Berezin-Toeplitz quantization. Our main tool is the theory of generalized Toeplitz operators on the boundary of such domains, due to Boutet de Monvel and Guillemin.

Dates et versions

hal-00947084 , version 1 (14-02-2014)

Identifiants

Citer

M. Englis, K. Falk, Bruno Iochum. Spectral triples and Toeplitz operators. Journal of Noncommutative Geometry, 2015, 9, pp.1041. ⟨10.4171/JNCG/215⟩. ⟨hal-00947084⟩
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