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Commuting Squares and Relative Entropy for Two Subfactors

✍ Scribed by Y. Watatani; J. Wierzbicki

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
366 KB
Volume
133
Category
Article
ISSN
0022-1236

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✦ Synopsis

We compute Connes-StΓΆrmer relative entropy (H(M \mid N)) for two subfactors (M) and (N) of a type (\mathrm{II}_{1}) factor without assuming (N \subset M). If they form a commuting square, then we have (H(M \mid N)=H(M \mid M \cap N)). If their commutants form a commuting square, then we have (H(M \mid N)=H(M \vee N \mid N)). 1995 Academic Press. Inc.

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