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Generators and Comparison of Entropies of Automorphisms of Finite von Neumann Algebras

✍ Scribed by V.Ya Golodets; Erling Størmer

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
180 KB
Volume
164
Category
Article
ISSN
0022-1236

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✦ Synopsis

We modify slightly Voiculescu's definition of approximation entropy of automorphisms of finite von Neumann algebras and compare it with the entropy of Connes and Sto% rmer. For this the notion of a generator is relevant, as its existence implies that the entropies coincide. Special emphasis is put on binary shifts. Examples of automorphisms without generators are also considered.

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