Characters on the Full Group of the Odometer

Details Characters on the Full Group of the Odometer Characters on the Full Group of the Odometer

2010-05-24

arxiv.org/abs/1005.4289v1

Mathematics

Representation Theory

Scientific paper

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 $[T]$.

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