INDUCTIVE LIMITS OF C*-ALGEBRAS AND COMPACT QUANTUM METRIC SPACES
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Publication:5164806
DOI10.1017/S1446788720000130zbMath1491.46072arXiv1807.10424OpenAlexW3013843270MaRDI QIDQ5164806
Publication date: 15 November 2021
Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1807.10424
Monge-Kantorovich distancenoncommutative metric geometryquantum metric spacesinductive limitsLip-normsAF algebras
Noncommutative geometry (à la Connes) (58B34) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89) States of selfadjoint operator algebras (46L30)
Related Items (3)
The strongly Leibniz property and the Gromov-Hausdorff propinquity ⋮ The Fell topology and the modular Gromov-Hausdorff propinquity ⋮ Bunce-Deddens algebras as quantum Gromov-Hausdorff distance limits of circle algebras
Cites Work
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- The dual Gromov-Hausdorff propinquity
- The structure of algebras of operator fields
- Farey stellar subdivisions, ultrasimplicial groups, and \(K_ 0\) of AF \(C^*\)-algebras
- On the classification of inductive limits of sequences of semisimple finite-dimensional algebras
- Metrics on states from actions of compact groups
- Vector bundles for ``matrix algebras converge to the sphere
- The Podleś sphere as a spectral metric space
- Convergence of Cauchy sequences for the covariant Gromov-Hausdorff propinquity
- Metrics on state spaces
- Group \(C^*\)-algebras as compact quantum metric spaces
- Quantum ultrametrics on AF algebras and the Gromov–Hausdorff propinquity
- Convergence of Fuzzy Tori and Quantum Tori for the quantum Gromov-Hausdorff Propinquity: an explicit approach
- Noncommutative solenoids and the Gromov-Hausdorff propinquity
- Nilpotent Group C*-algebras as Compact Quantum Metric Spaces
- Quantum Metric Spaces and the Gromov-Hausdorff Propinquity
- On a Certain Class of Operator Algebras
- A Hausdorff Topology for the Closed Subsets of a Locally Compact Non-Hausdorff Space
- Hyperbolic Group C*-Algebras and Free-Product C*-Algebras as Compact Quantum Metric Spaces
- The quantum Gromov-Hausdorff propinquity
- An AF Algebra Associated with the Farey Tessellation
- Vector Bundles and Gromov–Hausdorff Distance
- Gromov-Hausdorff distance for quantum metric spaces
- A compactness theorem for the dual Gromov-Hausdorff propinquity
- Some applications of conditional expectations to convergence for the quantum Gromov–Hausdorff propinquity
- The covariant Gromov–Hausdorff propinquity
- Matricial bridges for “Matrix algebras converge to the sphere”
- Compact metric spaces, Fredholm modules, and hyperfiniteness
- \(C^*\)-algebras by example
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