Date of Award
2013
Publication Type
Master Thesis
Degree Name
M.Sc.
Department
Mathematics and Statistics
Keywords
Pure sciences
Supervisor
Zhiguo Hu
Supervisor
Mehdi S. Monfared
Rights
info:eu-repo/semantics/openAccess
Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.
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.
Recommended Citation
Olobatuyi, Oluwole Victor, "Crossed Products of C*-Algebras" (2013). Electronic Theses and Dissertations. 4855.
https://scholar.uwindsor.ca/etd/4855