## 8 Citations

### E0-semigroups of type II0 and q-purity: Boundary weight maps of range rank one and two

- Mathematics
- 2012

### 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

- Mathematics
- 2010

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

- Mathematics
- 2012

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

- Mathematics
- 2010

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)…

### Classification of q-pure q-weight maps over finite dimensional Hilbert spaces

- MathematicsJournal of Functional Analysis
- 2019

## References

SHOWING 1-10 OF 20 REFERENCES

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- Mathematics
- 2003

This paper concerns the structure of strongly continuous one pa- rameter semigroups of completely positive contractions of B(H )= B(K ⊗ L2(0, ∞)) which are intertwined by translation. These are…

### CONSTRUCTION OF Eo-SEMIGROUPS OF B(H) FROM CP -FLOWS

- Mathematics

This paper constructs new examples of spatial Eo-semigroup of B(H) using CP -flows. A CP -flow is a strongly continuous one parameter semigroup of completely positive contractions of B(H) = B(K) ⊗…

### Continuous spatial semigroups of *-endomorphisms of (ℌ)

- Mathematics
- 1990

To each continuous semigroup of *-endomorphisms a of Z(S)) with an intertwining semigroup of isometries there is associated a *-representation 7t of the domain 2D(6) of the generator of ac. It is…

### A Non Spatial Continuous Semigroup of *-Endomorphisms of \mathfrak{B}(\mathfrak{H})

- Mathematics
- 1987

In this paper a continuous one parameter semigroup at of ^-endomorphisms of is constructed having the property that there does not exist a strongly continuous one parameter semigroup of intertwining…

### CONTINUOUS SPATIAL SEMIGROUPS OF *-ENDOMORPHISMS OF IB(S))

- Mathematics
- 2009

. To each continuous semigroup of *-endomorphisms 0 of !.8(.lj) with an intertwining semigroup of isometries there is associated a *-represen-tation 1C of the domain 1'(<5) of the generator of o. It…

### INDUCTION OF SEMIGROUPS OF ENDOMORPHISMS OF ${\mathfrak B} ({\mathfrak h})$ FROM COMPLETELY POSITIVE SEMIGROUPS OF (n × n) MATRIX ALGEBRAS

- Mathematics
- 1999

The paper concerns Eo-semigroup of ${\mathfrak B} ({\mathfrak h})$ induced from unit preserving completely positive semigroups of mapping of an (n × n) matrix algebra into itself. It is shown that…

### An Index Theory for Semigroups of *-Endomorphisms of and Type II1 Factors.

- MathematicsCanadian Journal of Mathematics
- 1988

In this paper we study unit preserving *-endomorphisms of and type II1 factors. A *-endomorphism α which has the property that the intersection of the ranges of αn for n = 1 , 2 , … consists solely…

### NEW EXAMPLES OF CONTINUOUS SPATIAL SEMIGROUPS OF *-ENDOMORPHISMS OF ${\mathfrak B} ({\mathfrak h})$

- Mathematics
- 1999

This paper concerns the structure of continuous spatial semigroups of *-endomorphisms of . These are semigroups of *-endomorphisms of for which there exist a strongly continuous one parameter…

### An Index Theory For Quantum Dynamical Semigroups

- Mathematics
- 1996

W. Arveson showed a way of associating continuous tensor product systems of Hilbert spaces with endomorphism semigroups of type I factors. We do the same for general quantum dynamical semigroups…