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Dynamical entropy of quasifree automorphisms

✍ Scribed by H. Narnhofer; W. Thirring

Book ID
104759382
Publisher
Springer
Year
1987
Tongue
English
Weight
330 KB
Volume
14
Category
Article
ISSN
0377-9017

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✦ Synopsis

The dynamical entropy of quasifree automorphisms and quasifree states is calculated and shown to be the entropy of the shift created by the group velocity. Some continuity properties are proved.

πŸ“œ SIMILAR VOLUMES

Entropy of Automorphisms of II1-Factors
Entropy of Automorphisms of II1-Factors Arising from the Dynamical Systems Theory
✍ V.Ya. Golodets; S.V. Neshveyev πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 156 KB

Let a countable amenable group G act freely and ergodically on a Lebesgue space (X, +), preserving the measure +. If T # Aut(X, +) is an automorphism of the equivalence relation defined by G then T can be extended to an automorphism : T of the II 1 -factor M=L (X, +) < G. We prove that if T commutes