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Continuity of the von Neumann Entropy

✍ Scribed by M. E. Shirokov

Publisher
Springer
Year
2010
Tongue
English
Weight
416 KB
Volume
296
Category
Article
ISSN
0010-3616

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✍ Erling StΓΈrmer πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 186 KB

We show the analogue for the entropy of automorphisms of finite von Neumann algebras of the classical formula H(T )=H( i=0 T &i P | i=1 T &i P), where T is a measure preserving transformation of a probability space, and P is a generator.