Spectral triples and Toeplitz operators
Miroslav Engliš
Silesian University in Opava, Czech RepublicKévin Falk
CNRS Luminy, Marseille, FranceBruno Iochum
Aix-Marseille Université, France
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Abstract
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 , 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.
Cite this article
Miroslav Engliš, Kévin Falk, Bruno Iochum, Spectral triples and Toeplitz operators. J. Noncommut. Geom. 9 (2015), no. 4, pp. 1041–1076
DOI 10.4171/JNCG/215