Lifts of operator systems
Abstract
We transfer the theory of slack operators and sums-of-squares criteria for lifts from convex cones to operator systems. These allow us 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?
Fields of Study & Subjects
Advanced Operator Algebra Research
Holomorphic and Operator Theory
Spectral Theory in Mathematical Physics
Publication details
- Journal / source
- Journal of Noncommutative Geometry
- Publication date
- 2 July 2026
- Language
- EN