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

^*Kontaktforfatter

Københavns Universitet

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › 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.

Originalsprog	Engelsk
Tidsskrift	Bulletin of the London Mathematical Society
Vol/bind	56
Udgave nummer	1
Sider (fra-til)	288-295
ISSN	0024-6093
DOI	https://doi.org/10.1112/blms.12930
Status	Udgivet - jan. 2024

Bibliografisk note

Funding Information:
The authors gratefully acknowledge the financial support from the Independent Research Fund Denmark through grant no. 9040‐00107B and 1026‐00371B, and from ERC through the MSCA Staff Exchanges grant no. 101086394. Moreover, they are grateful to Erik Christensen and Jens Kaad for many illuminating discussions on matters related to metrics on state spaces, to Max Holst Mikkelsen for pointing out an inaccuracy in a preliminary version of the paper, to Pierre Martinetti and Jean‐Christophe Wallet for making them aware of the references [ 3 ] and [ 16 ] and to the anonymous referee for helpful clarifications.

Dokumenter og links

10.1112/blms.12930Licens: CC BY

Open Access VersionForlagets udgivne version, 124 KBLicens: CC BY

Citationsformater

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author = "David Kyed and Ryszard Nest",

note = "Funding Information: The authors gratefully acknowledge the financial support from the Independent Research Fund Denmark through grant no. 9040‐00107B and 1026‐00371B, and from ERC through the MSCA Staff Exchanges grant no. 101086394. Moreover, they are grateful to Erik Christensen and Jens Kaad for many illuminating discussions on matters related to metrics on state spaces, to Max Holst Mikkelsen for pointing out an inaccuracy in a preliminary version of the paper, to Pierre Martinetti and Jean‐Christophe Wallet for making them aware of the references [ 3 ] and [ 16 ] and to the anonymous referee for helpful clarifications. ",

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M3 - Journal article

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Finiteness of metrics on state spaces

Abstract

Bibliografisk note

Dokumenter og links

Fingeraftryk

Citationsformater