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arXiv · 2305.02254

Finiteness of metrics on state spaces

David Kyed·Ryszard Nest
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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.

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David Kyed, Ryszard Nest. 2023-05-03. Finiteness of metrics on state spaces. https://doi.org/10.1112/blms.12930

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