Aligned CP-semigroups
Operator Algebras
2011-07-12 v1
Abstract
A CP-semigroup is aligned if its set of trivially maximal subordinates is totally ordered by subordination. We prove that aligned spatial E_0-semigroups are prime: they have no non-trivial tensor product decompositions up to cocycle conjugacy. As a consequence, we establish the existence of uncountably many non-cocycle conjugate E_0-semigroups of type II_0 which are prime.
Cite
@article{arxiv.1107.2053,
title = {Aligned CP-semigroups},
author = {Christopher Jankowski and Daniel Markiewicz and Robert T. Powers},
journal= {arXiv preprint arXiv:1107.2053},
year = {2011}
}
Comments
5 pages