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arXiv · 2508.15348

Lifts of Operator Systems

Markus Dannemüller·Tim Netzer
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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 $C^*$-algebra finite-dimensional, or is it the linear image of a system with a finite-dimensional enveloping algebra?

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Markus Dannemüller, Tim Netzer. 2025-08-21. Lifts of Operator Systems. https://arxiv.org/abs/2508.15348

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