Cheng Yin Hei. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2006. / Includes bibliographical references (leaves 72-75). / Abstracts in English and Chinese. / Chapter 1 --- Preliminaries --- p.1 / Chapter 1.1 --- "Haar measures, Group algebras and measure algebras of locally compact groups" --- p.1 / Chapter 1.2 --- Banach algebras and amenability --- p.7 / Chapter 2 --- Cohomological properties of Group algebras and Measure algebras --- p.13 / Chapter 2.1 --- Cohomological properties of L1(G) --- p.13 / Chapter 2.2 --- Amenability and weak amenability of M(G) --- p.16 / Chapter 3 --- Amenability and Fourier algebras with Bounded Approximate identities --- p.20 / Chapter 3.1 --- "Properties of Fourier-Stieltjes algebras, Fourier algebras, group von Neumann algebras" --- p.21 / Chapter 3.2 --- Conditions on A(G) that characterizing the amenability of G --- p.25 / Chapter 4 --- Operator Amenability and Fourier algebras --- p.45 / Chapter 4.1 --- Operator Amenability --- p.45 / Chapter 4.2 --- Hopf-von Neumann algebras and their predual structures --- p.50 / Chapter 4.3 --- Operator Cohomological properties of A(G) --- p.51 / Chapter 4.4 --- Ideals in A(G) with bounded approximate identities --- p.60 / Chapter 4.5 --- Other Cohomological properties of A(G) --- p.64 / Chapter A --- "Objects or notions and their ""dual"" versions" --- p.69 / Chapter B --- "Results and ""dual results"" for general locally compact groups" --- p.70 / Chapter C --- "Results and ""dual results"" which are equivalent to the amenability of the group" --- p.71 / Bibliography --- p.72
| Identifer | oai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_325808 |
| Date | January 2006 |
| Contributors | Cheng, Yin Hei., 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, vi, 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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