From the 1 of 8 linked papers with an AI index.
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A Three-Dimensional Operator System without the Smith--Ward Property
Marcel Scherer
The paper builds a three‑dimensional hyperrigid operator system inside a matrix amplification of the reduced C*-algebra of the free group, whose identity map lacks a unital complet…
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 ope…
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…