Simple C-algebras arising from certain Markov codes
In this paper, we will study a certain Markov coded system Sc defined by a finite directed graph G. We will prove that if the transition matrix of G is aperiodic, the associated C*-algebra OsG is unital, simple and purely infinite. We will compute its K-groups and Ext-groups and apply the results to...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2014
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| Sorozat: | Acta scientiarum mathematicarum
80 No. 1-2 |
| Kulcsszavak: | Matematika, Algebra |
| Tárgyszavak: | |
| mtmt: | http://dx.doi.org/10.14232/actasm-012-024-6 |
| Online Access: | http://acta.bibl.u-szeged.hu/34486 |
| Tartalmi kivonat: | In this paper, we will study a certain Markov coded system Sc defined by a finite directed graph G. We will prove that if the transition matrix of G is aperiodic, the associated C*-algebra OsG is unital, simple and purely infinite. We will compute its K-groups and Ext-groups and apply the results to classification of a certain class of symbolic dynamical systems under flow equivalence. |
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| Terjedelem/Fizikai jellemzők: | 95-120 |
| ISSN: | 0001-6969 |