2 citations · 2 across the 2 of their papers we have counts for
4 papers
An extension property for noncommutative convex sets and duality for operator systems
Adam Humeniuk, Matthew Kennedy, Nicholas Manor
We characterize inclusions of compact noncommutative convex sets with the property that every continuous affine function on the smaller set can be extended to a continuous affine f…
Nonunital operator systems and noncommutative convexity
Matthew Kennedy, Se-Jin Kim, Nicholas Manor
We establish the dual equivalence of the category of (potentially nonunital) operator systems and the category of pointed compact nc (noncommutative) convex sets, extending a resul…
Exactness vs C*-exactness for certain non-discrete groups
Nicholas Manor
It is known that exactness for a discrete group is equivalent to C*-exactness, i.e., the exactness of its reduced C*-algebra. The problem of whether this equivalence holds for gene…
Composition of PPT Maps
Matthew Kennedy, Nicholas A. Manor, Vern I. Paulsen
M. Christandl conjectured that the composition of any trace preserving PPT map with itself is entanglement breaking. We prove that Christandl's conjecture holds asymptotically by s…