Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Geometric classification of simple graph algebras   Inspired by Franks' classification of irreducible shifts of finite type we
provide a short list of allowed moves on graphs that preserves the stable
isomorphism class of the associated C*-algebras. We show that if two graphs
have stably isomorphic and simple unital algebras then we can use these moves
to transform one into the other.

3
The categories of this paper are: physics
4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat