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On intermediate factors of a product of disjoint systems

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arxiv 2312.03329 v4 pith:NDLAB46K submitted 2023-12-06 math.DS

Eli Glasner , Benjamin Weiss This is my paper · ORCID
classification math.DS
keywords intermediatesystemsapplicationscasecategoriescompactconsidercounterexamples
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We consider an intermediate factor situation in two categories: probability measure preserving ergodic theory and compact topological dynamics. In the first we prove a master-key theorem and examine a wide range of applications. In the second we treat the case when one of the systems is distal and then provide some counterexamples.

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  1. Non-commutative Intermediate Factor theorem associated with $W^*$-dynamics of product groups

    math.OA 2025-08 conditional novelty 7.0 of 10

    Every G-invariant intermediate von Neumann algebra between N and N⊗̄L∞(Poisson boundary) splits as N⊗̄L∞(C) for a (G,μ)-boundary C, when G is a product of two groups and each factor acts ergodically on N.

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