Characters on the full group of an ergodic hyperfinite equivalence relation

Abstract

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 ] .