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math.OA2011
Aligned CP-semigroups
Christopher Jankowski, Daniel Markiewicz, Robert T. Powers
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…
math.OA2011
E_0-semigroups and q-purity
Christopher Jankowski, Daniel Markiewicz, Robert T. Powers
An E_0-semigroup is called q-pure if it is a CP-flow and its set of flow subordinates is totally ordered by subordination. The range rank of a positive boundary weight map is the d…