%0 Journal Article %T Characters on the Full Group of the Odometer %A Artem Dudko %J Mathematics %D 2010 %I arXiv %X Let $X$ be the space of all infinite $0,1$-sequences and $T$ be the odometer on $X$. In this paper we introduce a dense subgroup $S(2^\infty)$ of the full group $[T]$ and describe all indecomposable characters on $S(2^\infty)$. As result we obtain a description of indecomposable characters on $[T]$. %U http://arxiv.org/abs/1005.4289v1