The group of measure-preserving transformations of closed unit interval has no outer automorphism

DOI10.1007/BF01457312zbMath0465.28008MaRDI QIDQ5966525

Stanley Eigen

Publication date: 1982

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163630

zbMATH Keywords

outer automorphismshomogeneous measure algebragroup of Boolean sigma-algebra automorphisms

Mathematics Subject Classification ID

General groups of measure-preserving transformations (28D15) Measures on Boolean rings, measure algebras (28A60)

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Cites Work

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• Le groupe des transformations de \([0,1\) qui preservent la mesure de Lebesgue est un groupe simple]
• Operator methods in classical mechanics. II
• Automorphisms of Products of Measure Spaces
• On Groups of Measure Preserving Transformations. II
• Approximation Theories for Measure Preserving Transformations
• On Homogeneous Measure Algebras