Pythagoras Theorem in Noncommutative Geometry
Mathematical Physics
2015-12-22 v2 math.MP
Operator Algebras
Abstract
After a review of the results in arXiv:1203.3184 [math-ph] about Pythagorean inequalities for products of spectral triples, I will present some new results and discuss classes of spectral triples and states for which equality holds.
Keywords
Cite
@article{arxiv.1507.08773,
title = {Pythagoras Theorem in Noncommutative Geometry},
author = {Francesco D'Andrea},
journal= {arXiv preprint arXiv:1507.08773},
year = {2015}
}
Comments
Proceedings of the Conference on Optimal Transport and Noncommutative Geometry, Besancon, 2014. Extended version. 39 pages, 8 pictures. v2: minor corrections