The Hyperrigidity Conjecture for Spectrahedra

Fuente: arXiv
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Auteur principal: Scherer, Marcel
Format: Preprint
Publié: 2026
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author Scherer, Marcel
author_facet Scherer, Marcel
contents 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(ex(K)).
format Preprint
id arxiv_https___arxiv_org_abs_2601_16075
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle The Hyperrigidity Conjecture for Spectrahedra
Scherer, Marcel
Operator Algebras
Functional Analysis
46L05, 46L07, 52A41
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(ex(K)).
title The Hyperrigidity Conjecture for Spectrahedra
topic Operator Algebras
Functional Analysis
46L05, 46L07, 52A41
url https://arxiv.org/abs/2601.16075