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The K-group of substitutional systems
El Kacimi, Aziz (Universite de Valenciennes)
Parthasarathy, Rajagopalan (Institute of Fundamental Research. School of Mathematics Tata)

Data: 2010
Resum: 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.
Drets: Tots els drets reservats.
Llengua: Anglès.
Document: article ; recerca ; publishedVersion
Matèria: Bratteli diagram ; Substitutional system ; K-group
Publicat a: Publicacions Matemàtiques, V. 54 n. 1 (2010) p. 3-23, ISSN 0214-1493

Adreça original:
DOI: 10.5565/PUBLMAT_54110_01
DOI: 10.5565/154814

21 p, 240.8 KB

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