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Equivalence of countable amenable groups

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1115)

Keywords

  • Probability Measure
  • Total Order
  • Polish Space
  • Amenable Group
  • Borel Probability Measure

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8.4. References

  1. ORNSTEIN, D. S. and WEISS, B., Ergodic theory of amenable groups I. The Rokhlin lemma. Bull. of the Amer. Math. Soc. 2 (1980), 161–164.

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  2. MOULIN OLLAGNIER, J. et PINCHON, D., Groupes pavabīes et principe variationnel. Z. Wahrscheinlichkeitstheorie verw. Geb. 48 (1979), 71–79.

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  3. ROKHLIN, V. A., Selected topics from the metric theory of dynamical systems. Amer. Math. Soc. Trans. (2) 49 (1966), 171–240.

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  4. CONZE, J. P., Entropie d’un groupe abélien de transformations. Z. Wahrscheinlichkeitstheorie verw. Geb. 25 (1972), 11–30.

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  5. DYE, H. A., On groups of measure preserving transformations I. Amer. J. of Math. vol. 81 (1959), 119–159.

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© 1985 Springer-Verlag

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Ollagnier, J.M. (1985). Equivalence of countable amenable groups. In: Ergodic Theory and Statistical Mechanics. Lecture Notes in Mathematics, vol 1115. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0101583

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  • DOI: https://doi.org/10.1007/BFb0101583

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15192-0

  • Online ISBN: 978-3-540-39289-7

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