Description
Book SynopsisUnitary representations of groups play an important role in many subjects, including number theory, geometry, probability theory, partial differential equations, and quantum mechanics. This book focuses on dual spaces associated to a group, which are spaces of building blocks of general unitary representations.
Table of Contents
- 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
- Bibliography
- Notation index
- Index.
