Extends quantum Rényi relative entropies to C*-algebra density spaces, proves they are inequivalent under surjective maps on non-commutative spaces, and shows identical symmetry groups for each.
Kadison, A generalized Schwarz inequality and algebraic invariants for operator algebras, Ann
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Quantum R\'enyi relative entropies on density spaces of $C^*$-algebras: their symmetries and their essential difference
Extends quantum Rényi relative entropies to C*-algebra density spaces, proves they are inequivalent under surjective maps on non-commutative spaces, and shows identical symmetry groups for each.