An Introduction to Crossed Products of C* Algebras.

      Аннотация: In this book, 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

Ключевые слова: Harmonic analysis, Locally Compact Groups, Haar measure, Vector-valued integration, C*-dynamical systems