The K-group of substitutional systems
arXiv:math/0506305
Abstract
In another article we associated a dynamical system to a non-properly ordered Bratteli diagram. In this article we describe how to compute the group of the dynamical system in terms of the Bratteli diagram. In the case of properly ordered Bratteli diagrams this description coincides with what is already known, namely the so-called dimension group of the Bratteli diagram. The new ordered group defined here is more relevant for non-properly ordered Bratteli diagrams. We use our main result to describe of a substitutional system.
13 pages;definition of used in Lemma 3.7 appeared after the proof of the Lemma. This is attended to now. A little more clarity in 3.10