Every sum system is divisible
Operator Algebras
2007-08-14 v1 Functional Analysis
Abstract
We show that every sum system is divisible. Combined with B. V. R. Bhat and R. Srinivasan's result, this shows that every product system arising from a sum system (and every generalized CCR flow) is either of type I or type III. A necessarily and sufficient condition for such a product system to be of type I is obtained.
Cite
@article{arxiv.0708.1591,
title = {Every sum system is divisible},
author = {Masaki Izumi},
journal= {arXiv preprint arXiv:0708.1591},
year = {2007}
}
Comments
22 pages