Abstract
Von Neumann entropy has a natural extension to the case of an arbitrary semifinite von Neumann algebra, as was considered by I. E. Segal. We relate this entropy to the relative entropy and show that the entropy increase for an inclusion of von Neu-mann factors is bounded by the logarithm of the Jones index. The bound is optimal if the factors are infinite dimensional.
Original language | English (US) |
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Pages (from-to) | 2501-2523 |
Number of pages | 23 |
Journal | Pure and Applied Mathematics Quarterly |
Volume | 19 |
Issue number | 5 |
DOIs | |
State | Published - 2023 |
Externally published | Yes |
All Science Journal Classification (ASJC) codes
- General Mathematics