# On type II0 E0-semigroups induced by boundary weight doubles

@article{Jankowski2010OnTI,
title={On type II0 E0-semigroups induced by boundary weight doubles},
author={Christopher Jankowski},
journal={Journal of Functional Analysis},
year={2010},
volume={258},
pages={3413-3451}
}
8 Citations

### E_0-semigroups and q-purity

• Mathematics
• 2011
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 dimension of the

### Gauge groups of E_0-semigroups obtained from Powers weights

• Mathematics
• 2011
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 contains many

### Unital q-positive maps on M_2(\C) and a related E_0-semigroup result

From previous work, we know how to obtain type II_0 E_0-semigroups using boundary weight doubles (\phi, \nu), where \phi: M_n(\C) \to M_n(\C) is a unital q-positive map and \nu is a normalized

### $E_0$-semigroups: around and beyond Arveson's work

We give an account of the theory of $E_0$-semigroups. We first focus on Arveson's contributions to the field and related results. Then we present the recent development of type II and type III

### Aligned CP-semigroups

• Mathematics
• 2011
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

### A family of non-cocycle conjugate E_0-semigroups obtained from boundary weight doubles

We have seen that if \phi: M_n(\C) \rightarrow M_n(\C) is a unital q-positive map and \nu is a type II Powers weight, then the boundary weight double (\phi, \nu) induces a unique (up to conjugacy)

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