The category of compact quantum metric spaces
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Publication:5071340
DOI10.1142/S0219025722500047zbMath1496.46074OpenAlexW4213229250MaRDI QIDQ5071340
Publication date: 21 April 2022
Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0219025722500047
Noncommutative topology (46L85) Noncommutative differential geometry (46L87) Noncommutative geometry (à la Connes) (58B34)
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Cites Work
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- Equivalence of quantum metrics with a common domain
- Lipschitzness of \(^*\)-homomorphisms between \(C^*\)-metric algebras
- The dual Gromov-Hausdorff propinquity
- Spectral metric spaces on extensions of \(C^*\)-algebras
- Extensions and degenerations of spectral triples
- Lipschitz isometries of compact quantum metric spaces
- Twisted bounded-dilation group \(C\)*-algebras as \(C\)*-metric algebras
- Spectral triples for subshifts
- Metrics on states from actions of compact groups
- Matricial quantum Gromov--Hausdorff distance.
- Vector bundles for ``matrix algebras converge to the sphere
- Metrics on state spaces
- Group \(C^*\)-algebras as compact quantum metric spaces
- Dimension and dynamical entropy for metrized \(C^\ast\)-algebras
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- Order-unit quantum Gromov--Hausdorff distance
- Twisted group \(C^\ast\)-algebras as compact quantum metric spaces
- Quantized Gromov--Hausdorff distance
- On Spectral Triples on Crossed Products Arising From Equicontinuous Actions
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- Leibniz seminorms for "Matrix algebras converge to the sphere"
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- The quantum Gromov-Hausdorff propinquity
- Sums of two-dimensional spectral triples
- Isometries of Noncommutative Metric Spaces
- Gromov-Hausdorff distance for quantum metric spaces
- Isometry groups of twisted reduced group C∗-algebras
- The category of compact metric spaces and its functional analytic duals
- Noncommutative geometry and reality
- Lipschitz isomorphisms of compact quantum metric spaces
- Matricial bridges for “Matrix algebras converge to the sphere”
- Non-commutative metric topology on matrix state space
- Compact metric spaces, Fredholm modules, and hyperfiniteness
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