Unitary Representations of groups, duals, and characters
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TextLanguage: English Series: Mathematical surveys and monogrphs ; volume 250Publication details: Providence American Mathematical Society 2020Description: xi, 474 p. illustrationsISBN: 9781470456276Subject(s): 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.) | Mathematics
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Includes bibliographical references and index.
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.
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