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Entropy of Endomorphisms and Relative Entropy in Finite von Neumann Algebras

✍ Scribed by Erling Størmer

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 186 KB
Volume: 171
Category: Article
ISSN: 0022-1236
DOI: 10.1006/jfan.1999.3535

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✦ Synopsis

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.

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