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Twisted crossed products.

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

Identiferoai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_324340
Date January 2003
ContributorsChau, Man Pan., Chinese University of Hong Kong Graduate School. Division of Mathematics.
Source SetsThe Chinese University of Hong Kong
LanguageEnglish, Chinese
Detected LanguageEnglish
TypeText, bibliography
Formatprint, 75 leaves ; 30 cm.
RightsUse 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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