Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Characters on the Full Group of the Odometer   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 $[T]$.

30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex