Finiteness of metrics on state spaces
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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 language | English |
|---|---|
| Journal | Bulletin of the London Mathematical Society |
| Volume | 56 |
| Issue number | 1 |
| Pages (from-to) | 288-295 |
| ISSN | 0024-6093 |
| DOIs | |
| Publication status | Published - 2024 |
Bibliographical note
Publisher Copyright:
© 2023 The Author(s). The Bulletin of the London Mathematical Society is copyright © London Mathematical Society.
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