  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.
