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On the entropy in II1 von Neumann algebras
Published online by Cambridge University Press: 19 September 2008
Abstract
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.
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- Copyright © Cambridge University Press 1981
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