Finiteness of metrics on state spaces

DOI10.1112/blms.12930arXiv2305.02254OpenAlexW4386980960MaRDI QIDQ6148052

Ryszard Nest, David Kyed

Publication date: 1 February 2024

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2305.02254

Mathematics Subject Classification ID

Noncommutative geometry (à la Connes) (58B34) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89) States of selfadjoint operator algebras (46L30)

Cites Work

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• Noncommutative geometry of the Moyal plane: translation isometries, Connes' distance on coherent states, Pythagoras equality
• The spectral distance in the Moyal plane
• Spectral triples for subshifts
• Metrics on state spaces
• The Gromov-Hausdorff propinquity for metric spectral triples
• Connes' metric for states in group algebras
• The quantum Gromov-Hausdorff propinquity
• Gromov-Hausdorff distance for quantum metric spaces
• Dynamics of compact quantum metric spaces
• Compact metric spaces, Fredholm modules, and hyperfiniteness

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