Remote access

How to Order

For AMS eBook frontlist subscriptions or backfile collection purchases:

   1a. To purchase any ebook backfile or to subscibe to the current year of Contemporary Mathematics, please download this required license agreement,

   1b. To subscribe to the current year of Memoirs of the AMS, please download this required license agreement.

   2. Complete and sign the license agreement.

   3. Email, fax, or send via postal mail to:

Customer Services
American Mathematical Society
201 Charles Street Providence, RI 02904-2294  USA
Phone: 1-800-321-4AMS (4267)
Fax: 1-401-455-4046

Visit the AMS Bookstore for individual volume purchases.

Browse the current eBook Collections price list

Powered by MathJax

Gromov-Hausdorff distance for quantum metric spaces

About this Title

Marc A. Rieffel

Publication: Memoirs of the American Mathematical Society
Publication Year 2004: Volume 168, Number 796
ISBNs: 978-0-8218-3518-0 (print); 978-1-4704-0394-2 (online)
MathSciNet review: 2055927
MSC: Primary 46L87; Secondary 53C23, 58B34, 60B10

View full volume PDF

Read more about this volume

View other years and numbers:

Table of 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