by J Tomiyama (Tokyo Metropolitan)

This book is an exposition on the interesting interplay between topological dynamics and the theory of C*-algebras. Researchers working in topological dynamics from various fields in mathematics are becoming more and more interested in this kind of algebraic approach of dynamics. This book is designed to present to the readers the subject in an elementary way, including also results of recent developments.

• Topological Dynamical Systems
• Elementary Theory of C^∗-Algebras
• Transformation Group C^∗-Algebras — Crossed Products of Commutative C^∗-Algebras
• Orbit Structure and Discrete Irreducible Representation of Transformation Group C^∗-Algebras
• Shift Dynamical Systems and Topological Dynamical Systems Associated with Subgroups of the Torus T