Open Access
2010 The $K$-Group of Substitutional Systems
Aziz El Kacimi, Rajagopalan Parthasarathy
Publ. Mat. 54(1): 3-23 (2010).


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 $K_0$ 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 $K_0$ of a substitutional system.


Download Citation

Aziz El Kacimi. Rajagopalan Parthasarathy. "The $K$-Group of Substitutional Systems." Publ. Mat. 54 (1) 3 - 23, 2010.


Published: 2010
First available in Project Euclid: 8 January 2010

zbMATH: 1180.37014
MathSciNet: MR2603586

Primary: 37B10 , 54H20‎

Keywords: $K$-group , Bratteli diagram , substitutional system

Rights: Copyright © 2010 Universitat Autònoma de Barcelona, Departament de Matemàtiques

Vol.54 • No. 1 • 2010
Back to Top