Sequences of operator algebras converging to odd spheres in the quantum Gromov-Hausdorff distance

DOI10.1007/S13226-024-00635-YMaRDI QIDQ6623984

T. Bhattacharyya, Sushil Singla

Publication date: 24 October 2024

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

Toeplitz operatorscompact quantum metric spacequantum Gromov-Hausdorff distancegeneralized Bergman spaces

Mathematics Subject Classification ID

Noncommutative differential geometry (46L87) Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) (47L80) Bergman spaces and Fock spaces (30H20)

Cites Work

• Title not available (Why is that?)
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• The dual Gromov-Hausdorff propinquity
• Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
• Matricial quantum Gromov--Hausdorff distance.
• Metrics on state spaces
• Group \(C^*\)-algebras as compact quantum metric spaces
• Spectral truncations in noncommutative geometry and operator systems
• Bunce-Deddens algebras as quantum Gromov-Hausdorff distance limits of circle algebras
• The Podleś spheres converge to the sphere
• Order-unit quantum Gromov--Hausdorff distance
• Approximation of quantum tori by finite quantum tori for the quantum Gromov--Hausdorff distance
• Gromov-Hausdorff convergence of state spaces for spectral truncations
• The Gromov-Hausdorff propinquity for metric spectral triples
• Quantum ultrametrics on AF algebras and the Gromov-Hausdorff propinquity
• Quantum Metric Spaces and the Gromov-Hausdorff Propinquity
• FROMC^*-ALGEBRA EXTENSIONS TO COMPACT QUANTUM METRIC SPACES, QUANTUM SU(2), PODLEŚ SPHERES AND OTHER EXAMPLES
• The quantum Gromov-Hausdorff propinquity
• Gromov-Hausdorff distance for quantum metric spaces
• Spaces of Holomorphic Functions in the Unit Ball
• Compact metric spaces, Fredholm modules, and hyperfiniteness
• Convergence of Fourier truncations for compact quantum groups and finitely generated groups

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