Augmenting dimension group invariants for substitution dynamics

• Author: Toke M. Carlsen and Søren Eilers.
• Date: December 2002, revised version February 2003.
• Status: To appear in Ergodic theory and Dynamical Systems.
• Pages: 25.
• Abstract: We present new invariants for substitutional dynamical systems. Our main contribution is a flow invariant which is strictly finer than, but related and akin to, the dimension groups of Herman, Putnam and Skau. We present this group as a stationary inductive limit of a system associated to an integer matrix defined from combinatorial data based on the class of special words of the dynamical system.
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