CAR flows on type III factors and its extendability
Operator Algebras
2014-02-04 v2
Abstract
In this paper using one of the necessary conditions obtained for extendability in [BISSar], we prove that the CAR flows ([Amo01]) on type III factors arising from most quasi-free states are not extendable. As a consequence we find the super product system of CAR flows. We know from [Arv03] that CCR flows and CAR flows on type I factors with the same Arveson index are cocycle conjugate. But our result together with [BISSar] will show that CCR flows and CAR flows on type III factors are not cocycle conjugate.
Cite
@article{arxiv.1304.4341,
title = {CAR flows on type III factors and its extendability},
author = {Panchugopal Bikram},
journal= {arXiv preprint arXiv:1304.4341},
year = {2014}
}