Abstract
We compute Connes-Störmer relative entropy H(M/N) for two subfactors M and N of a type II1 factor without assuming N ⊂ M. If they form a commuting square, then we have H(M/N) = H(M/M ∩ N). If their commutants form a commuting square, then we have H(M/N) = H(M ∨ N/N).
Original language | English |
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Pages (from-to) | 329-341 |
Number of pages | 13 |
Journal | Journal of Functional Analysis |
Volume | 133 |
Issue number | 2 |
DOIs | |
Publication status | Published - Nov 1 1995 |
All Science Journal Classification (ASJC) codes
- Analysis