Finiteness of metrics on state spaces
Operator Algebras
2024-02-21 v3
Abstract
We show that Connes' metric on the state space associated with a spectral triple is nowhere infinite exactly when it is globally bounded. Moreover, we produce a family of simple examples showing that this is not automatically the case.
Keywords
Cite
@article{arxiv.2305.02254,
title = {Finiteness of metrics on state spaces},
author = {David Kyed and Ryszard Nest},
journal= {arXiv preprint arXiv:2305.02254},
year = {2024}
}
Comments
8 pages, comments welcome. v2: minor corrections. v3:references and acknowledgements added;to appear in Bulletin of the LMS