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Entropy bounds for endomorphisms commuting withKactions

✍ Scribed by G. Morris; T. Ward

Book ID
110679340
Publisher
The Hebrew University Magnes Press
Year
1998
Tongue
English
Weight
501 KB
Volume
106
Category
Article
ISSN
0021-2172

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✍ Y. Watatani; J. Wierzbicki πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 366 KB

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