Relative Entropy of a Fixed Point Algebra
The relative entropy H(M∣N) for a pair N ⊂M of finite von Neumann algebras was introduced and studied by M. Pimsner and S.Popa in . One of their important results was to clarify the relationship between H(M∣N) and the Jones index [M : N] for a pair of finite factors (). On the other hand, in , V. Jones succeeded in classifying actions of a finite group G on the hyperfinite type II1 factor R, up to conjugacy, associated with normal subgroups of G, characteristic invariants and inner invariants.
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