Outgoing Cuntz Scattering System for a Coisometric Lifting and Transfer Function
Operator Algebras
2012-06-11 v2 Functional Analysis
Abstract
We study a coisometry that intertwines Popescu's presentations of minimal isometric dilations of a given operator tuple and of a coisometric lifting of the tuple. Using this we develop an outgoing Cuntz scattering system which gives rise to an input-output formalism. A transfer function is introduced for the system. We also compare the transfer function and the characteristic function for the associated lifting.
Cite
@article{arxiv.1206.1501,
title = {Outgoing Cuntz Scattering System for a Coisometric Lifting and Transfer Function},
author = {Kalpesh J. Haria},
journal= {arXiv preprint arXiv:1206.1501},
year = {2012}
}
Comments
14 pages