The K-group of substitutional systems
| dc.creator | Kacimi, A. El | |
| dc.creator | Parthasarathy, R. | |
| dc.date | 2005-06-15 | |
| dc.date | 2006-02-01 | |
| dc.date.accessioned | 2026-07-07T06:42:27Z | |
| dc.date.available | 2026-07-07T06:42:27Z | |
| dc.description | 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 ordered 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. | |
| dc.description | 13 pages;definition of $ΔZ^..$ used in Lemma 3.7 appeared after the proof of the Lemma. This is attended to now. A little more clarity in 3.10 | |
| dc.identifier | https://arxiv.org/abs/math/0506305 | |
| dc.identifier | http://arxiv.org/abs/math/0506305 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/102044 | |
| dc.subject | Dynamical Systems | |
| dc.subject | 37B10, 54H20 | |
| dc.title | The K-group of substitutional systems | |
| dc.type | text |