Open AccessSpectral triples and Toeplitz operators
Author(s) -
Miroslav Engliš,
Kévin Falk,
Bruno Iochum
Publication year - 2016
Publication title -
journal of noncommutative geometry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.037
H-Index - 26
eISSN - 1661-6960
pISSN - 1661-6952
DOI - 10.4171/jncg/215
Subject(s) - mathematics , toeplitz matrix , spectral properties , algebra over a field , pure mathematics , computational chemistry , chemistry
31 pagesWe 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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