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On the entropy in II1 von Neumann algebras

Published online by Cambridge University Press:  19 September 2008

O. Besson
O. Besson
Affiliation:
Département de Mathématiques, Ecole Polytechnique Fédérale, Lausanne, Switzerland
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Abstract

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Let α be an automorphism of a finite von Neumann algebra and let H(α) be its Connes-Størmer's entropy. We show that H(α) = 0 if α is the induced automorphism on the crossed product of a Lebesgue space by a pure point spectrum transformation. We also show that H is not continuous in α and we compute H(α) for some α.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 1 , Issue 4 , December 1981 , pp. 419 - 429
Copyright
Copyright © Cambridge University Press 1981

References

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