Entropy of shifts on higher-rank graph C*-algebras
| dc.creator | Skalski, Adam | |
| dc.creator | Zacharias, Joachim | |
| dc.date | 2006-05-09 | |
| dc.date | 2008-01-16 | |
| dc.date.accessioned | 2026-07-07T08:54:40Z | |
| dc.date.available | 2026-07-07T08:54:40Z | |
| dc.description | Let O_{Lambda} be a higher rank graph C*-algebra of rank r. For every tuple p of non-negative integers there is a canonical completely positive map Phi^p on O_{Lambda} and a subshift T^p on the path space X of the graph. We show that ht(Phi^p)=h(T^p), where ht is Voiculescu's approximation entropy and h the classical topological entropy. For a higher rank Cuntz-Krieger algebra O_M we obtain ht(Phi^p)= log r(M_1^{p_1}M_2^{p_2} ... M_r^{p_r}), r being the spectral radius. This generalises Boca and Goldstein's result for Cuntz-Krieger algebras. | |
| dc.description | 11 pages, revised and corrected version | |
| dc.identifier | https://arxiv.org/abs/math/0605228 | |
| dc.identifier | http://arxiv.org/abs/math/0605228 | |
| dc.identifier | Houston Journal of Mathematics 34, No.1 (2008), 269-282 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/146021 | |
| dc.subject | Operator Algebras | |
| dc.subject | Dynamical Systems | |
| dc.subject | 46L55; 37B40 | |
| dc.title | Entropy of shifts on higher-rank graph C*-algebras | |
| dc.type | text |