8 citations · 12 across the 5 of their papers we have counts for
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Classification of q-pure q-weight maps over finite dimensional Hilbert spaces
Christopher Jankowski, Daniel Markiewicz, Robert T. Powers
An -semigroup of is a one parameter strongly continuous semigroup of -endomorphisms of that preserve the identity. Every -semigroup that possesses a stro…
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…
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…
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…
A family of non-cocycle conjugate E_0-semigroups obtained from boundary weight doubles
Christopher Jankowski
We have seen that if ϕ: M_n(\C) \rightarrow M_n(\C) is a unital q-positive map and νis a type II Powers weight, then the boundary weight double (ϕ, ν) induces a unique (up to conju…
On type II_0 E_0-semigroups induced by boundary weight doubles
Christopher Jankowski
Powers has shown that each spatial E_0-semigroup can be obtained from the boundary weight map of a CP-flow acting on B(K \otimes L^2(0, \infty)) for some separable Hilbert space K.…