4 papers · 1 filter
A Three-Dimensional Operator System without the Smith--Ward Property
Marcel Scherer
Harris recently showed that a non-liftable injective representation into the Calkin algebra gives explicit four-dimensional operator systems in the Calkin algebra without the lifti…
On the spectral radius of operator tuples
Marcel Scherer, Orr Shalit, Eli Shamovich
In recent work, Shalit and Shamovich associated to every operator space structure on a spectral radius function on -tuples of oper…
The Hyperrigidity Conjecture for Spectrahedra
Marcel Scherer
We show that if K is a compact spectrahedron whose set of extreme points is closed, then the operator system of continuous affine functions on K is hyperrigid in the C*-algebra C(e…
A C*-cover lattice dichotomy
Adam Humeniuk, Christopher Ramsey, Marcel Scherer
In this paper, we show that the lattice of C*-covers of a non-selfadjoint operator algebra is either one point or uncountable. We prove that there are non-selfadjoint operator alge…