Lifts of Operator Systems
Operator Algebras
2025-08-22 v1
Abstract
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 -algebra finite-dimensional, or is it the linear image of a system with a finite-dimensional enveloping algebra?
Keywords
Cite
@article{arxiv.2508.15348,
title = {Lifts of Operator Systems},
author = {Markus Dannemüller and Tim Netzer},
journal= {arXiv preprint arXiv:2508.15348},
year = {2025}
}