Jones index of a quantum dynamical semigroup
| dc.creator | Mohari, Anilesh | |
| dc.date | 2007-04-16 | |
| dc.date.accessioned | 2026-07-07T07:56:43Z | |
| dc.date.available | 2026-07-07T07:56:43Z | |
| dc.description | In this paper we consider a semigroup of completely positive maps $τ=(τ_t,t \ge 0)$ with a faithful normal invariant state $ϕ$ on a type-$II_1$ factor $\cla_0$ and propose an index theory. We :achieve this via a more general Kolmogorov's type of construction for stationary Markov processes which naturally associate a nested isomorphic von-Neumann algebras. In particular this construction generalizes well known Jones construction associated with a sub-factor of type-II$_1$ factor. | |
| dc.identifier | https://arxiv.org/abs/0704.1989 | |
| dc.identifier | http://arxiv.org/abs/0704.1989 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/127412 | |
| dc.subject | Operator Algebras | |
| dc.subject | Probability | |
| dc.subject | Jones index, Sub-factor, completely positive maps | |
| dc.title | Jones index of a quantum dynamical semigroup | |
| dc.type | text |