Finiteness of metrics on state spaces
arXiv:2305.02254 · doi:10.1112/blms.12930
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.
8 pages, comments welcome. v2: minor corrections. v3:references and acknowledgements added;to appear in Bulletin of the LMS