Spectral triples and Toeplitz operators
Mathematical Physics
2014-02-14 v1 math.MP
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
@article{arxiv.1402.3061,
title = {Spectral triples and Toeplitz operators},
author = {M. Englis and K. Falk and B. Iochum},
journal= {arXiv preprint arXiv:1402.3061},
year = {2014}
}
Comments
31 pages