On Pythagoras Theorem for Products of Spectral Triples
- Publisher: SPRINGER
LETTERS IN MATHEMATICAL PHYSICS
Mathematical Physics | Mathematics - Operator Algebras | 58B34 (Primary) 46L87 (Secondary)
arxiv: Mathematics::History and Overview | Quantitative Biology::Genomics
We discuss a version of Pythagoras theorem in noncommutative geometry. Usual Pythagoras theorem can be formulated in terms of Connes' distance, between pure states, in the product of commutative spectral triples. We investigate the generalization to both non pure states...