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Daily Overview |
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RAG3: Real Algebraic Geometry Location: M629 Session Chair: Daniel Plaumann Session Chair: Claus Scheiderer | |
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Free Spectrahedra and Subhomogeneous Operator Systems University of Innsbruck, Austria Free spectrahedra are noncommutative counterparts of classical spectrahedra. From the operator-system viewpoint, a free spectrahedron is precisely an operator system with a finite-dimensional C*-envelope (equivalently, a finite-dimensional realisation). Building on this, we introduce d-subhomogeneous operator systems as those having a d-subhomogeneous C*-envelope. We also discuss how this relates to notions of maximality of operator systems and the existence of certain types of realisations. Finally, we present a recent result: The class of projected subhomogeneous operator systems is closed under taking duals, paralleling the fact that duals of free spectrahedra are projected free spectrahedra. | |
