Cuntz-Krieger algebras.

• Other Authors: Lam, Shek Ki.
• Format: Others
• Language: English; Chinese
• Published: 1998
• Subjects: C*-algebras; Representations of algebras
• Online Access: http://library.cuhk.edu.hk/record=b5889717; http://repository.lib.cuhk.edu.hk/en/item/cuhk-322294

by Lam Shek Ki. === Thesis (M.Phil.)--Chinese University of Hong Kong, 1998. === Includes bibliographical references (leaves 59-60). === Abstract also in Chinese. === Acknowledgment --- p.i === Abstract --- p.ii === Introduction --- p.2 === Chapter Chapter 1 --- Prelimnaries === Chapter §1.1 --- A Summary on C*-algebras and their representation theory --- p.4 === Chapter §1.2 --- Primitive ideals --- p.7 === Chapter §1.3 --- Canonical form of a matrix --- p.12 === Chapter Chapter 2 --- Uniqueness and basic properties of OA === Chapter §2.1 --- Uniqueness of Cuntz-Krieger Algebra --- p.13 === Chapter §2.2 --- Basic properties of OA --- p.25 === Chapter Chapter 3 --- A generalization of OA === Chapter §3.1 --- Universal Cuntz-Krieger Algebras --- p.33 === Chapter §3.2 --- Gauge action on AO A --- p.36 === Chapter Chapter 4 --- The ideal structure of OA and AO A === Chapter §4.1 --- Gauge-invariant ideals of AO A --- p.39 === Chapter §4.2 --- The primitive ideal space of AO A --- p.49 === Bibliography --- p.59