Gromov-Hausdorff distance for quantum metric spaces/matrix algebras converge to the sphere for quantum Gromov-Hausdorff distance / [electronic resource] Marc A. Rieffel.

By: Rieffel, Marc A. (Marc Aristide), 1937-Material type: TextTextSeries: Memoirs of the American Mathematical Society ; v. 796Publication details: Providence, R.I. : American Mathematical Society, 2004Description: 1 online resource (vii, 91 p. : ill.)ISBN: 9781470403942 (online)Subject(s): Noncommutative differential geometry | Global differential geometryAdditional physical formats: Gromov-Hausdorff distance for quantum metric spaces/matrix algebras converge to the sphere for quantum Gromov-Hausdorff distance /DDC classification: 516.3/6 LOC classification: QA3 | .A57 no. 796 | QC20.7.D52Online resources: Contents | Contents
Contents:
Gromov-Hausdorff distance for quantum metric spaces 1. Introduction 2. Compact quantum metric spaces 3. Quotients (= "subsets") 4. Quantum Gromov-Hausdorff distance 5. Bridges 6. Isometries 7. Distance zero 8. Actions of compact groups 9. Quantum tori 10. Continuous fields of order-unit spaces 11. Continuous fields of lip-norms 12. Completeness 13. Finite approximation and compactness Matrix algebras converge to the sphere for quantum Gromov-Hausdorff distance 0. Introduction 1. The quantum metric spaces 2. Choosing the bridge constant $\gamma $ 3. Compact semisimple Lie groups 4. Covariant symbols 5. Contravariant symbols 6. Conclusion of the proof of Theorem 3.2
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"March 2004, volume 168, number 796 (first of 4 numbers)."

Includes bibliographical references (p. 89-91).

Gromov-Hausdorff distance for quantum metric spaces 1. Introduction 2. Compact quantum metric spaces 3. Quotients (= "subsets") 4. Quantum Gromov-Hausdorff distance 5. Bridges 6. Isometries 7. Distance zero 8. Actions of compact groups 9. Quantum tori 10. Continuous fields of order-unit spaces 11. Continuous fields of lip-norms 12. Completeness 13. Finite approximation and compactness Matrix algebras converge to the sphere for quantum Gromov-Hausdorff distance 0. Introduction 1. The quantum metric spaces 2. Choosing the bridge constant $\gamma $ 3. Compact semisimple Lie groups 4. Covariant symbols 5. Contravariant symbols 6. Conclusion of the proof of Theorem 3.2

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

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