by Chau Man Pan. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2003. / Includes bibliographical references (leaves 74-75). / Abstracts in English and Chinese. / Chapter 1 --- Preliminaries --- p.6 / Chapter 1.1 --- General Theory of C* algebras --- p.6 / Chapter 1.2 --- Hilbert Modules and Induced representations --- p.11 / Chapter 1.3 --- Crossed Products --- p.15 / Chapter 2 --- Twisted crossed products --- p.18 / Chapter 2.1 --- Basic definition --- p.18 / Chapter 2.2 --- Iterated twisted crossed products --- p.24 / Chapter 3 --- Induced representations --- p.27 / Chapter 3.1 --- Construction of Imprimitivity bimodule --- p.27 / Chapter 3.2 --- Basic theory about induced representations --- p.32 / Chapter 4 --- Ideal Theory --- p.38 / Chapter 4.1 --- Induction and Restriction processes --- p.38 / Chapter 4.2 --- Sub-quotients of twisted crossed products --- p.48 / Chapter 5 --- Mackey Machine --- p.53 / Chapter 5.1 --- Quasi regular systems --- p.53 / Chapter 5.2 --- First Step of Mackey Machine --- p.57 / Chapter 5.3 --- Second step of Mackey Machine --- p.59 / Chapter 6 --- Abelian systems --- p.64 / Chapter 6.1 --- Dual spaces of Abelian systems --- p.64 / Chapter 7 --- Appendix --- p.69 / Chapter 7.1 --- Classical version of induced representation --- p.69
| Identifer | oai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_324340 |
| Date | January 2003 |
| Contributors | Chau, Man Pan., Chinese University of Hong Kong Graduate School. Division of Mathematics. |
| Source Sets | The Chinese University of Hong Kong |
| Language | English, Chinese |
| Detected Language | English |
| Type | Text, bibliography |
| Format | print, 75 leaves ; 30 cm. |
| Rights | Use of this resource is governed by the terms and conditions of the Creative Commons “Attribution-NonCommercial-NoDerivatives 4.0 International” License (http://creativecommons.org/licenses/by-nc-nd/4.0/) |
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