The problem of completeness for Gromov-Hausdorff metrics on \(C^{\ast}\)-algebras

DOI10.1016/J.JFA.2005.04.007zbMath1099.46046arXivmath/0502013OpenAlexW2105791727MaRDI QIDQ820075

Daniele Guido, Tommaso Isola

Publication date: 6 April 2006

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0502013

zbMATH Keywords

ultraproductsquantum metric spacesLip-norms

Mathematics Subject Classification ID

Noncommutative differential geometry (46L87) Operator spaces and completely bounded maps (46L07)

Related Items (1)

A Gromov-Hausdorff distance between von Neumann algebras and an application to free quantum fields

Cites Work

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• An asymptotic dimension for metric spaces, and the 0-th Novikov-Shubin invariant.
• Injective envelopes of operator systems
• Nonstandard methods in fixed point theory
• Metrics on states from actions of compact groups
• Matricial quantum Gromov--Hausdorff distance.
• Metrics on state spaces
• Group \(C^*\)-algebras as compact quantum metric spaces
• Metrics on group \(C^{*}\)-algebras and a non-commutative Arzelà-Ascoli theorem
• Gromov-Hausdorff distance for quantum metric spaces

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