Prove FiniteEntropySeparation (openai/math family 298: A counterexample to Voiculescu’s free-entropy…
Prove FiniteEntropySeparation (openai/math family 298: A counterexample to Voiculescu’s free-entropy…: a task in openai/math as Harbor environments (Harbor dataset). Context: this statement belongs to family 298 of the release, A counterexample to Voiculescu’s free-entropy equality conjecture…
The task
Context: this statement belongs to family 298 of the release, *A counterexample to Voiculescu’s free-entropy equality conjecture* (Operator algebras). The family as a whole: Constructs a bounded self-adjoint tuple in a tracial von Neumann algebra whose microstates and nonmicrostates free entropies satisfy…
Part of raising-heart/openai-math.