Lifts of Operator Systems

Fuente: arXiv
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Auteurs principaux: Dannemüller, Markus, Netzer, Tim
Format: Preprint
Publié: 2025
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author Dannemüller, Markus
Netzer, Tim
author_facet Dannemüller, Markus
Netzer, Tim
contents We transfer the theory of slack operators and sums-of-squares-criteria for lifts from convex cones to operator systems. These allow to study the following question, among others: Given an abstract operator system, is its enveloping $C^*$-algebra finite-dimensional, or is it the linear image of a system with a finite-dimensional enveloping algebra?
format Preprint
id arxiv_https___arxiv_org_abs_2508_15348
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Lifts of Operator Systems
Dannemüller, Markus
Netzer, Tim
Operator Algebras
We transfer the theory of slack operators and sums-of-squares-criteria for lifts from convex cones to operator systems. These allow to study the following question, among others: Given an abstract operator system, is its enveloping $C^*$-algebra finite-dimensional, or is it the linear image of a system with a finite-dimensional enveloping algebra?
title Lifts of Operator Systems
topic Operator Algebras
url https://arxiv.org/abs/2508.15348