Approximation properties of groups.

• Other Authors: Leung, Cheung Yu.
• Format: Others
• Language: English; Chinese
• Published: 2011
• Subjects: Locally compact groups; Approximation theory; Mathematical analysis
• Online Access: http://library.cuhk.edu.hk/record=b5894650; http://repository.lib.cuhk.edu.hk/en/item/cuhk-327359

Leung, Cheung Yu. === Thesis (M.Phil.)--Chinese University of Hong Kong, 2011. === Includes bibliographical references (leaves 85-86). === Abstracts in English and Chinese. === Introduction --- p.6 === Chapter 1 --- Preliminaries --- p.7 === Chapter 1.1 --- Locally compact groups and unitary representations --- p.7 === Chapter 1.2 --- Positive definite functions --- p.10 === Chapter 1.3 --- Affine isometric actions of groups --- p.23 === Chapter 1.4 --- Ultraproducts --- p.29 === Chapter 2 --- Amenability --- p.33 === Chapter 2.1 --- Reiter's property --- p.33 === Chapter 2.2 --- Fφlner's property --- p.41 === Chapter 3 --- Kazhdan's Property (T) --- p.43 === Chapter 3.1 --- Definition and basic properties --- p.43 === Chapter 3.2 --- Property (FH) --- p.51 === Chapter 3.3 --- Spectral criterion for Property (T) --- p.56 === Chapter 3.4 --- Property (T) for SL3(Z) --- p.60 === Chapter 3.5 --- Expanders --- p.72 === Approximation Properties of Groups --- p.5 === Chapter 4 --- Haagerup Property --- p.74 === Chapter 4.1 --- Equivalent formulations of Haagerup Property --- p.74 === Chapter 4.2 --- Trees and wall structures --- p.82 === Bibliography --- p.85