Γ-convex free sets, defined by closure under isometries that intertwine a tuple Γ of free polynomials, admit Effros-Winkler-style separation by monic Γ-pencils.
Barvinok: A course in convexity, Graduate Studies in Mathematics, 54
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Noncommutative partial convexity via $\Gamma$-convexity
Γ-convex free sets, defined by closure under isometries that intertwine a tuple Γ of free polynomials, admit Effros-Winkler-style separation by monic Γ-pencils.