The K-Group of substitutional systems

El Kacimi, Aziz ; Parthasarathy, Rajagopalan (2010) The K-Group of substitutional systems Publicacions Matematiques, 54 (1). pp. 3-23. ISSN 0214-1493

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In another article we associated a dynamical system to a non-properly ordered Bratteli diagram. In this article we describe how to compute the K-group K0 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 group defined here is more relevant for non-properly ordered Bratteli diagrams. We use our main result to describe K0 of a substitutional system.

Item Type:Article
Source:Copyright of this article belongs to Departament de Matematiques, Universitat Autònoma de Barcelona.
Keywords:Bratteli Diagram; Substitutional System; K-group
ID Code:72102
Deposited On:28 Nov 2011 06:00
Last Modified:28 Nov 2011 06:00

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