A Finite Dimensional Counterexample for Arveson's Hyperrigidity Conjecture

Fuente: arXiv
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Autore principale: Scherer, Marcel
Natura: Preprint
Pubblicazione: 2025
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author Scherer, Marcel
author_facet Scherer, Marcel
contents We construct an operator system generated by $4$ operators that is not hyperrigid, although all restrictions of irreducible representations have the unique extension property.
format Preprint
id arxiv_https___arxiv_org_abs_2502_10286
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A Finite Dimensional Counterexample for Arveson's Hyperrigidity Conjecture
Scherer, Marcel
Functional Analysis
Operator Algebras
46L07, 47A20 (Primary) 46L52 (Secondary)
We construct an operator system generated by $4$ operators that is not hyperrigid, although all restrictions of irreducible representations have the unique extension property.
title A Finite Dimensional Counterexample for Arveson's Hyperrigidity Conjecture
topic Functional Analysis
Operator Algebras
46L07, 47A20 (Primary) 46L52 (Secondary)
url https://arxiv.org/abs/2502.10286