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The spectrum of dynamical systems arising from substitutions of constant length

โœ Scribed by F. M. Dekking

Publisher
Springer
Year
1978
Tongue
English
Weight
943 KB
Volume
41
Category
Article
ISSN
1432-2064

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Entropy of Automorphisms of II1-Factors
Entropy of Automorphisms of II1-Factors Arising from the Dynamical Systems Theory
โœ V.Ya. Golodets; S.V. Neshveyev ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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