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Fundamental groups of some ergodic equivalence relations of type II∞

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Abstract

Automorphisms of equivalence relations generated by translations of dense arithmetic subgroups and groups of Q-rational points on semisimple noncompact Lie groups (real andp-adic) are studied. These automorphisms are proved to preserve a Haar measure.

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Authors and Affiliations

  1. Department of Mechanics and Mathematics, Kharkor National University, Freedom Sq. 4, 61077, Kharkov, Ukraine

    Sergey L. Gefter

  2. B. Verkin Institute for Low Temperature Physics and Engineering, Lenin Ave 47, 61103, Kharkov, Ukraine

    Sergey L. Gefter

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  1. Sergey L. Gefter
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Correspondence to Sergey L. Gefter.

Additional information

The author is grateful to Professor A. Boutet de Monvel for the hospitality at University Paris VII and to the Ministry of Foreign Affairs of France for the financial support granted for the period of work on this paper.

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Gefter, S.L. Fundamental groups of some ergodic equivalence relations of type II∞ . Qual. Th. Dyn. Syst. 4, A115–A124 (2003). https://doi.org/10.1007/BF02972826

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