A lower bound on the rank of mixing extensions

DOI10.1007/BF02774146zbMath0647.28012OpenAlexW2057279171MaRDI QIDQ1104443

Jonathan L. King

Publication date: 1987

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02774146

zbMATH Keywords

partitionrigiditymeasure-preserving transformation of a probability spaceRohlin stacks

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Ergodic theory of linear operators (47A35)

Related Items (1)

Joining-rank and the structure of finite rank mixing transformations

Cites Work

• For mixing transformations \(rank(T^ k)=k\cdot rank(T)\)
• Joining-rank and the structure of finite rank mixing transformations
• The commutant is the weak closure of the powers, for rank-1 transformations

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