Finiteness of metrics on state spaces

David Kyed*, Ryszard Nest

*Corresponding author for this work

Research output: Contribution to journalJournal articleResearchpeer-review


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.

Original languageEnglish
JournalBulletin of the London Mathematical Society
Publication statusE-pub ahead of print - 23. Sept 2023


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