We give examples of spectral triples, in the sense of A. Connes, constructedusing the algebra of Toeplitz operators on smoothly bounded strictlypseudoconvex domains in $C^n$, or the star product for the Berezin-Toeplitzquantization. Our main tool is the theory of generalized Toeplitz operators onthe boundary of such domains, due to Boutet de Monvel and Guillemin.
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机译：我们以A. Connes的意义给出频谱三元组的示例，它使用Toeplitz算子的代数在$ C ^ n $的光滑有界严格伪伪凸域上进行构建，或者说是Berezin-Toeplitzquantization的星积。由于Boutet de Monvel和Guillemin，我们的主要工具是在此类域边界上的广义Toeplitz算符理论。
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