Substitutional dynamical systems, Bratteli diagrams and dimension groups

Authors
Durand, F Host, B Skau, C
Citation
F. Durand et al., Substitutional dynamical systems, Bratteli diagrams and dimension groups, ERGOD TH DY, 19, 1999, pp. 953-993
Citations number
41
Categorie Soggetti
Mathematics
Journal title
ERGODIC THEORY AND DYNAMICAL SYSTEMS
ISSN journal
01433857 → ACNP
Volume
19
Year of publication
1999
Part
4
Pages
953 - 993
Database
ISI
SICI code
0143-3857(199908)19:<953:SDSBDA>2.0.ZU;2-A
Abstract
We explore substitution minimal systems and their relation to stationary Br atteli 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 invar iant is independent of spectral invariants which have previously been exten sively studied. Before we state the main results we give some background.