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Komplexita klasifikačních problémů v ergodické teorii / Complexity of classification problems in ergodic theory

In the thesis we acquaint ourselves with the terms from ergodic theory and re- presentation theory of topological groups. We pay attention particularly to terms unitary representation, realizability by an action, dual group, unitary equivalence and Kazhdan's property (T). We achieve a result regarding unitary representati- ons realizable by an action on finite abelian groups according to article [5] and show that it is possible to generalize it to all finite groups at the end of the thesis according to article [6]. A large part of the text subsequently deals with proper- ties of unitary representations and their relations. We connect the terms compact topological group and Kazhdan's property (T).

Identiferoai:union.ndltd.org:nusl.cz/oai:invenio.nusl.cz:415515
Date January 2020
CreatorsVaněček, Ondřej
ContributorsZelený, Miroslav, Doucha, Michal
Source SetsCzech ETDs
LanguageCzech
Detected LanguageEnglish
Typeinfo:eu-repo/semantics/masterThesis
Rightsinfo:eu-repo/semantics/restrictedAccess

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