Characters on the full group of an ergodic hyperfinite equivalence relation

Let X be the space of all infinite 0, 1-sequences and E be the tail equivalence relation on X. In this paper we introduce a dense subgroup S(2∞) of the full group [E] and describe all indecomposable characters on S(2∞). As result we obtain a description of indecomposable characters on [E]. © 2011 Elsevier Inc. All rights reserved.