Unitary representations of groups, duals, and characters

Unitary representations of groups, duals, and characters

Unitary dual and primitive dual -- Representations of locally compact abelian groups -- Examples of irreducible representations -- Finite dimensional irreducible representations -- Describing all irreducible representations of some semi-direct products -- Types for representations, quasi-duals, grou...

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Bibliographische Detailangaben
1. Verfasser: Bekka, Mohammed El Bachir (VerfasserIn)
Weitere Verfasser: La Harpe, Pierre de (VerfasserIn)
Format: UnknownFormat
Sprache:eng
Veröffentlicht: Providence, Rhode Island American Mathematical Society 2020
Schriftenreihe:Mathematical surveys and monographs volume 250
Schlagworte:
Representations of groups > Unitary groups > Topological groups > Ergodic theory > Operator algebras > Characters of groups > Topological groups, Lie groups -- Locally compact groups and their algebras -- Unitary representations o > Topological groups, Lie groups -- Locally compact groups and their algebras -- $C^*$-algebras and $W^*$- > Topological groups, Lie groups -- Locally compact groups and their algebras -- Ergodic theory on groups > Functional analysis -- Selfadjoint operator algebras ($C^*$-algebras, von Neumann ($W^*$-) algebras, etc.) > Topologische Gruppe > Lie-Gruppe > Unitäre Darstellung > C-Stern-Algebra > VonNeumann-Algebra > Ergodentheorie
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Beschreibung
Zusammenfassung:Unitary dual and primitive dual -- Representations of locally compact abelian groups -- Examples of irreducible representations -- Finite dimensional irreducible representations -- Describing all irreducible representations of some semi-direct products -- Types for representations, quasi-duals, groups of type I -- Non type I groups -- Representations of C*-algebras and of LC groups, the Glimm theorem -- Examples of primitive duals -- Normal quasi-dual and characters -- Finite characters and Thoma's dual -- Examples of Thoma's duals -- The group measure space construction -- Construction of factor representations for some semi-direct products -- Separating families of finite type representations.
Beschreibung:Includes bibliographical references and index
Beschreibung:xi, 474 Seiten
ISBN:9781470456276
978-1-4704-5627-6