43 citations · 118 across the 17 of their papers we have counts for
18 papers
Matrix convex sets over the Euclidean ball and polar duals of real free spectrahedra
Eric Evert, Benjamin Passer
We show that the free spectrahedron determined by universal anticommuting self-adjoint unitaries is not equal to the minimal matrix convex set over the ball in dimension three or h…
Extreme points of matrix convex sets and their spanning properties
Eric Evert, Benjamin Passer, Tea Štrekelj
This expository article gives a survey of matrix convex sets, a natural generalization of convex sets to the noncommutative (dimension-free) setting, with a focus on their extreme…
Continuity and equivariant dimension
Alexandru Chirvasitu, Benjamin Passer
We study the local-triviality dimensions of actions on -algebras, which are invariants developed for noncommutative Borsuk-Ulam theory. While finiteness of the local-trivialit…
Complex Free Spectrahedra, Absolute Extreme Points, and Dilations
Benjamin Passer
Evert and Helton proved that real free spectrahedra are the matrix convex hulls of their absolute extreme points. However, this result does not extend to complex free spectrahedra,…
Strongly peaking representations and compressions of operator systems
Kenneth R. Davidson, Benjamin Passer
We use Arveson's notion of strongly peaking representation to generalize uniqueness theorems for free spectrahedra and matrix convex sets which admit minimal presentations. A fully…
Matrix range characterizations of operator system properties
Benjamin Passer, Vern I. Paulsen
For finite-dimensional operator systems , , we show that the local lifting property and -exactness of $\mathcal{S}_{\…