Finiteness of metrics on state spaces

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
Number of pages8
Publication statusE-pub ahead of print - 2023

Bibliographical note

Publisher Copyright:
© 2023 The Author(s). The Bulletin of the London Mathematical Society is copyright © London Mathematical Society.

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