A. Connes and E. Stormer [3] defined the relative entropy H(M/N) for finite dimensional von Neumann subalgebras M and N of a finite von Neumann algrbra L by using the notion of Umegaki relative entropy. When L is commutative, M and N are generated by some finite partitions P and Q, then H(M/N) coin- cides with the classical conditional entropy h(P, Q) ([2]).
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