The Action of SL(2,Z) on the Subsets of Z2
colorful horizontal rule

Su Gao

Abstract

We prove that the orbit equivalence relation of the canonical action of SL(2,Z) on the subsets of Z2 is a universal countable Borel equivalence relation.

Table of Contents

  1. Introduction
  2. Preliminaries about SL(2,Z)
  3. Preliminaries about the Action of SL(2,Z) on Z
  4. The Main Theorem
    References
This paper is to appear in the Proceedings of American Mathematical Society 129 (2001), 1507-1512.

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