Victoria University

Characterisations of Pseudo-Amenability

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dc.contributor.advisor Pham, Hung Vujičić, Aleksa 2019-08-13T23:53:44Z 2019-08-13T23:53:44Z 2019 2019
dc.description.abstract We start this thesis by introducing the theory of locally compact groups and their associated Haar measures. We provide examples and prove important results about locally compact and more specifically amenable groups. One such result is known as the Følner condition, which characterises the class amenable groups. We then use this characterisation to define the notion of a pseudo-amenable group. Our central theorem that we present provides new characterisations of pseudo-amenable groups. These characterisations allows us to prove several new results about these groups, which closely mimic well known results about amenable groups. For instance, we show that pseudo-amenability is preserved under closed subgroups and homomorphisms. en_NZ
dc.language.iso en_NZ
dc.publisher Victoria University of Wellington en_NZ
dc.subject Amenability en_NZ
dc.subject Pseudo-amenability en_NZ
dc.subject Haar measure en_NZ
dc.subject Locally compact group en_NZ
dc.subject Banach-Tarski paradox en_NZ
dc.subject Følner condition en_NZ
dc.subject Paradoxical decomposition en_NZ
dc.subject Functional analysis en_NZ
dc.subject Lebesgue space en_NZ
dc.subject Borel regular measure en_NZ
dc.title Characterisations of Pseudo-Amenability en_NZ
dc.type text en_NZ
vuwschema.contributor.unit School of Mathematics and Statistics en_NZ
vuwschema.type.vuw Awarded Research Masters Thesis en_NZ Mathematics en_NZ Victoria University of Wellington en_NZ Masters en_NZ Master of Science en_NZ
dc.rights.license Creative Commons GNU GPL en_NZ
dc.rights.license Allow modifications, as long as others share alike en_NZ
dc.rights.license Allow commercial use en_NZ 2019-08-09T02:16:33Z
vuwschema.subject.anzsrcfor 010106 Lie Groups, Harmonic and Fourier Analysis en_NZ
vuwschema.subject.anzsrcfor 010108 Operator Algebras and Functional Analysis en_NZ
vuwschema.subject.anzsrcseo 970101 Expanding Knowledge in the Mathematical Sciences en_NZ
vuwschema.subject.anzsrctoa 1 PURE BASIC RESEARCH en_NZ

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