Finiteness of metrics on state spaces

David Kyed; Ryszard Nest

doi:10.1112/blms.12930

Finiteness of metrics on state spaces

David Kyed^*, Ryszard Nest

^*Corresponding author for this work

Department of Mathematical Sciences

Research output: Contribution to journal › Journal article › Research › peer-review

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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.

Original language	English
Journal	Bulletin of the London Mathematical Society
Volume	56
Issue number	1
Pages (from-to)	288-295
ISSN	0024-6093
DOIs	https://doi.org/10.1112/blms.12930
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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Cite this

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