Twisted crossed products.

• Other Authors: Chau, Man Pan.
• Format: Others
• Language: English; Chinese
• Published: 2003
• Subjects: C*-algebras; Crossed products
• Online Access: http://library.cuhk.edu.hk/record=b5891744; http://repository.lib.cuhk.edu.hk/en/item/cuhk-324340

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