Ultraproducts of measure preserving actions and graph combinatorics

  title={Ultraproducts of measure preserving actions and graph combinatorics},
  author={Clinton T. Conley and Alexander S. Kechris and Robin D. Tucker-Drob},
In this paper we apply the method of ultraproducts to the study of graph combinatorics associated with measure preserving actions of infinite, countable groups, continuing the work in Conley-Kechris [CK]. We employ the ultraproduct construction as a flexible method to produce measure preserving actions a of a countable group Γ on a standard measure space (X,μ) (i.e., a standard Borel space with its σ-algebra of Borel sets and a Borel probability measure) starting from a sequence of such actions… CONTINUE READING

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