Speaker
Tim Netzer, University of Innsbruck
Abstract
Operator systems with a finite-dimensional enveloping C*-algebra appear naturally in real algebraic geometry, optimization and quantum information theory. But the notion is quite restrictive, and many systems are not of this type. A next-best property of the enveloping C*-algebra is subhomogeneity. We collect and extend characterizations for such operator systems, and give some interesting examples and counterexamples. We also explain how the notion can be of interest in the context of quantum information, and pose some open problems.
Tim Netzer, University of Innsbruck
Abstract
Operator systems with a finite-dimensional enveloping C*-algebra appear naturally in real algebraic geometry, optimization and quantum information theory. But the notion is quite restrictive, and many systems are not of this type. A next-best property of the enveloping C*-algebra is subhomogeneity. We collect and extend characterizations for such operator systems, and give some interesting examples and counterexamples. We also explain how the notion can be of interest in the context of quantum information, and pose some open problems.