Quantum differentials of Spectral triples, Dirichlet spaces and discrete groups
Operator Algebras
2023-01-03 v1 Mathematical Physics
Functional Analysis
math.MP
Abstract
We study natural conditions on essentially discrete spectral triples by which the quantum differential belongs to the ideal generated by the unit length . We also study upper and lower bounds on the singular values of the 's and apply the general framework to natural spectral triples of Dirichlet spaces and, in particular, those on dual of discrete groups arising from negative definite functions.
Cite
@article{arxiv.2301.00140,
title = {Quantum differentials of Spectral triples, Dirichlet spaces and discrete groups},
author = {Fabio E. G. Cipriani and Jean-Luc Sauvageot},
journal= {arXiv preprint arXiv:2301.00140},
year = {2023}
}