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This book is the first self-contained exposition of the fascinating
link between dynamical systems and dimension groups. The authors
explore the rich interplay between topological properties of
dynamical systems and the algebraic structures associated with
them, with an emphasis on symbolic systems, particularly
substitution systems. It is recommended for anybody with an
interest in topological and symbolic dynamics, automata theory or
combinatorics on words. Intended to serve as an introduction for
graduate students and other newcomers to the field as well as a
reference for established researchers, the book includes a thorough
account of the background notions as well as detailed exposition -
with full proofs - of the major results of the subject. A wealth of
examples and exercises, with solutions, serve to build intuition,
while the many open problems collected at the end provide
jumping-off points for future research.
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