|
|
|
|
|
|
|
|
1. |
Record Nr. |
UNINA9910788746303321 |
|
|
Autore |
Rieffel Marc A (Marc Aristide), <1937-> |
|
|
Titolo |
Gromov-Hausdorff distance for quantum metric spaces : matrix algebras converge to the sphere for quantum Gromov-Hausdorff distance / / Marc A. Rieffel |
|
|
|
|
|
|
|
Pubbl/distr/stampa |
|
|
Providence, Rhode Island : , : American Mathematical Society, , 2004 |
|
©2004 |
|
|
|
|
|
|
|
|
|
ISBN |
|
|
|
|
|
|
Descrizione fisica |
|
1 online resource (106 p.) |
|
|
|
|
|
|
Collana |
|
Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 168, Number 796 |
|
|
|
|
|
|
|
|
Disciplina |
|
|
|
|
|
|
Soggetti |
|
Noncommutative differential geometry |
Global differential geometry |
|
|
|
|
|
|
|
|
Lingua di pubblicazione |
|
|
|
|
|
|
Formato |
Materiale a stampa |
|
|
|
|
|
Livello bibliografico |
Monografia |
|
|
|
|
|
Note generali |
|
"March 2004, Volume 168, Number 796 (first of 4 numbers)." |
|
|
|
|
|
|
Nota di bibliografia |
|
Includes bibliographical references. |
|
|
|
|
|
|
Nota di contenuto |
|
""Contents""; ""Preface""; ""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""; ""Appendix 1. An Example where dist[sub(GH)] > dist[sub(q)]""; ""Appendix 2. Dirac Operators are Universal"" |
""Bibliography""""Matrix Algebras Converge to the Sphere for Quantum Gromov-Hausdorff Distance""; ""0. Introduction""; ""1. The Quantum Metric Spaces""; ""2. Choosing the Bridge Constant γ""; ""3. Compact Semisimple Lie Groups""; ""4. Covariant Symbols""; ""5. Contravariant Symbols""; ""6. Conclusion of the Proof of Theorem 3.2""; ""Bibliography"" |
|
|
|
|
|
|
|