An Invitation to Quantum Groups and Duality
From Hopf Algebras to Multiplicative Unitaries and Beyond
Thomas Timmermann
University of Münster, Germany
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| FrontmatterDownload pp. i–v | |
| PrefaceDownload pp. vii–viii | |
| ContentsDownload pp. ix–xiii | |
| IntroductionDownload pp. xv–xx | |
| Part I From groups to quantum groupsp. 1 | |
| 1 | Hopf algebraspp. 3–39 |
| 2 | Multiplier Hopf algebras and their dualitypp. 40–64 |
| 3 | Algebraic compact quantum groupspp. 65–93 |
| Part II Quantum groups in the setting of -algebras and von Neumann algebrasp. 95 | |
| 4 | First definitions and examplespp. 97–106 |
| 5 | -algebraic compact quantum groupspp. 107–134 |
| 6 | Examples of compact quantum groupspp. 135–165 |
| 7 | Multiplicative unitariespp. 166–202 |
| 8 | Locally compact quantum groupspp. 203–247 |
| Part III Selected topicsp. 249 | |
| 9 | Coactions on -algebras, reduced crossed products, and dualitypp. 251–288 |
| 10 | Pseudo-multiplicative unitaries on Hilbert spacespp. 289–327 |
| 11 | Pseudo-multiplicative unitaries on -modulespp. 328–368 |
| 12 | Appendixpp. 369–383 |
| Bibliographypp. 385–396 | |
| Symbol Indexpp. 397–399 | |
| Indexpp. 401–407 |