2008/07/23 by Fabien Durand, Bernard Host, Christian Skau
Mathematics · #math.DS #msc:46L55
published as Ergodic Theory and Dynamical Systems 19 (1999) 953-993
arxiv created 2008/07/23 · arxiv updated 2009/12/01
The present paper explores 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.