Dimension groups and dynamical systems substitutions, Bratteli diagrams and Cantor systems
Topological dynamical systems -- Ordered groups -- Ordered cohomology groups -- Partitions in towers -- Bratteli diagrams -- Substitution shifts and generalizations -- Dendric shifts -- Interval exchange transformations -- Bratteli diagrams and C*-algebras.
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Weitere Verfasser: | |
| Format: | UnknownFormat |
| Sprache: | eng |
| Veröffentlicht: |
Cambridge, New York, NY
Cambridge University Press
2022
|
| Schriftenreihe: | Cambridge studies in advanced mathematics
196 |
| Schlagworte: | |
| Online Zugang: | zbMATH |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
Tag hinzufügen | Zusammenfassung: | Topological dynamical systems -- Ordered groups -- Ordered cohomology groups -- Partitions in towers -- Bratteli diagrams -- Substitution shifts and generalizations -- Dendric shifts -- Interval exchange transformations -- Bratteli diagrams and C*-algebras. "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"-- |
|---|---|
| Beschreibung: | Includes bibliographical references and index |
| Beschreibung: | vii, 584 Seiten Illustrationen |
| ISBN: | 9781108838689 978-1-108-83868-9 |