Hostname: page-component-7857688df4-zx5rz Total loading time: 0 Render date: 2025-11-19T11:34:28.309Z Has data issue: false hasContentIssue false
  • English
  • Français

Substitutional dynamical systems, Bratteli diagrams and dimension groups

Published online by Cambridge University Press:  02 April 2001

F. DURAND ,
B. HOST  and
C. SKAU
F. DURAND
Affiliation:
Université de Picardie Jules Verne, Faculté de Mathématiques et Imformatique, 33, Rue Saint-Leu, F 80 039 Armiens Cédex 01, France
B. HOST
Affiliation:
Université de Marne la Vallée, 2 rue de la Butte verte, F 93 166 Noisy le Grand Cedex, France
C. SKAU
Affiliation:
Department of Mathematics and Statistics, NTNU, 7055 Dragvoll, Norway
Get access Rights & Permissions [Opens in a new window]

Abstract

We explore substitution minimal systems and their relation to stationary Bratteli diagrams and stationary dimension groups. The constructions involved are algorithmic and explicit and render an effective method to compute an invariant of (ordered) $K$-theoretic nature for these systems. This new invariant is independent of spectral invariants which have previously been extensively studied. Before we state the main results we give some background.

Information

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 19 , Issue 4 , August 1999 , pp. 953 - 993
Copyright
1999 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable