3 papers
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…
math.OA2011
Gauge groups of E_0-semigroups obtained from Powers weights
Christopher Jankowski, Daniel Markiewicz
The gauge group is computed explicitly for a family of E_0-semigroups of type II_0 arising from the boundary weight double construction introduced earlier by Jankowski. This family…