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Spectral triples and Toeplitz operators
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Spectral triples and Toeplitz operators
classification
math-ph
math.MP
keywords
operatorstoeplitzdomainsspectraltriplesalgebraberezin-toeplitzboundary
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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.
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