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Subadditivity Inequalities in von Neumann Algebras and Characterization of Tracial Functionals

✍ Scribed by O. E. Tikhonov

Publisher
Springer
Year
2005
Tongue
English
Weight
79 KB
Volume
9
Category
Article
ISSN
1385-1292

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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.