Positive Voiculescu-Brown entropy in noncommutative toral automorphisms
| dc.creator | Kerr, David | |
| dc.creator | Li, Hanfeng | |
| dc.date | 2003-03-07 | |
| dc.date.accessioned | 2026-07-07T04:55:51Z | |
| dc.date.available | 2026-07-07T04:55:51Z | |
| dc.description | We show that the Voiculescu-Brown entropy of a noncommutative toral automorphism arising from a matrix S in GL(d,Z) is at least half the value of the topological entropy of the corresponding classical toral automorphism. We also obtain some information concerning the positivity of local Voiculescu-Brown entropy with respect to single unitaries. In particular we show that if S has no roots of unity as eigenvalues then the local Voiculescu-Brown entropy with respect to every product of canonical unitaries is positive, and also that in the presence of completely positive CNT entropy the unital version of local Voiculescu-Brown entropy with respect to every non-scalar unitary is positive. | |
| dc.description | 13 pages | |
| dc.identifier | https://arxiv.org/abs/math/0303090 | |
| dc.identifier | http://arxiv.org/abs/math/0303090 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66725 | |
| dc.subject | Operator Algebras | |
| dc.subject | Dynamical Systems | |
| dc.title | Positive Voiculescu-Brown entropy in noncommutative toral automorphisms | |
| dc.type | text |