Substitutional dynamical systems, Bratteli diagrams and dimension groups

Details Substitutional dynamical systems, Bratteli diagrams and dimension groups Substitutional dynamical systems, Bratteli diagrams and dimension groups

2008-07-23

arxiv.org/abs/0807.3621v1

Ergodic Theory and Dynamical Systems 19 (1999) 953-993

Mathematics

Dynamical Systems

Scientific paper

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.

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