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Unitary Representations of Groups, Duals, and Characters
About this Title
Bachir Bekka, IRMAR, Université de Rennes 1, Rennes, France and Pierre de la Harpe, Université de Genève, Genève, Switzerland
Publication: Mathematical Surveys and Monographs
Publication Year:
2020; Volume 250
ISBNs: 978-1-4704-5627-6 (print); 978-1-4704-6287-1 (online)
DOI: https://doi.org/10.1090/surv/250
Table of Contents
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Front/Back Matter
Chapters
- Introduction
- 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 of LC groups, the Glimm Theorem
- Examples of primitive duals
- Normal qluasi-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
- Appendix
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