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Indecomposability of treed equivalence relations

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Abstract

We define rigorously a “treed” equivalence relation, which, intuitively, is an equivalence relation together with a measurably varying tree structure on each equivalence class. We show, in the nonamenable, ergodic, measure-preserving case, that a treed equivalence relation cannot be stably isomorphic to a direct product of two ergodic equivalence relations.

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Authors and Affiliations

  1. Department of Mathematics, Stanford University, 94305, Stanford, CA, USA

    Scot Adams

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  1. Scot Adams
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Adams, S. Indecomposability of treed equivalence relations. Israel J. Math. 64, 362–380 (1988). https://doi.org/10.1007/BF02882427

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  • DOI: https://doi.org/10.1007/BF02882427

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