3 citations · 4 across the 4 of their papers we have counts for
5 papers · 1 filter
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…
Noncommutative Choquet simplices
Matthew Kennedy, Eli Shamovich
We introduce a notion of noncommutative Choquet simplex, or briefly an nc simplex, that generalizes the classical notion of a simplex. While every simplex is an nc simplex, there a…
An infinite quantum Ramsey theorem
Matthew Kennedy, Taras Kolomatski, Daniel Spivak
We prove an infinite Ramsey theorem for noncommutative graphs realized as unital self-adjoint subspaces of linear operators acting on an infinite dimensional Hilbert space. Specifi…
Traces on reduced group C*-algebras
Matthew Kennedy, Sven Raum
In this short note we prove that the reduced group C*-algebra of a locally compact group admits a non-zero trace if and only if the amenable radical of the group is open. This comp…
Corrigendum to: Essential normality, essential norms and hyperrigidity
Matthew Kennedy, Orr Shalit
In our paper "Essential normality, essential norms and hyperrigidity" we claimed that the restriction of the identity representation of a certain operator system (constructed from…