Pythagoras Theorem in Noncommutative Geometry

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.

Proceedings of the Conference on Optimal Transport and Noncommutative Geometry, Besancon, 2014. Extended version. 39 pages, 8 pictures. v2: minor corrections

References in corpus (2)

• Quantum Information Processing with Finite Resources -- Mathematical Foundations
• On Pythagoras' theorem for products of spectral triples

Cited by in corpus (1)

• A dual formula for the spectral distance in noncommutative geometry