If (G,H) has relative property (T) and H-actions on von Neumann algebras of extremal invariant traces are ergodic, then the simplex T(A)^G of G-invariant traces is Bauer.
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Invariant trace simplices and relative property (T)
If (G,H) has relative property (T) and H-actions on von Neumann algebras of extremal invariant traces are ergodic, then the simplex T(A)^G of G-invariant traces is Bauer.