Date of Award

2013

Degree Type

Thesis

Degree Name

M.Sc.

Department

Mathematics and Statistics

First Advisor

Zhiguo Hu

Second Advisor

Mehdi S. Monfared

Keywords

Pure sciences

Rights

CC BY-NC-ND 4.0

Abstract

In this thesis, we give a detailed construction of the crossed product of a C*-algebra by a locally compact group. In Chapter 1, we review some preliminary results on locally compact groups and C*-algebras. In Chapter 2, Haar measures on locally compact groups are studied and a brief harmonic analysis is discussed. In Chapter 3, we study vector-valued integration on groups and prove a version of the Fubini theorem for vector-valued integrals. In Chapter 4, transformation groups are considered, and C*-dynamical systems and their covariant representations are investigated. Finally, we explore in Chapter 5 the construction of crossed products of C*-algebras and provide some examples of crossed products. Some representations associated with crossed products are also briefly discussed.

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