Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Towards a K-theoretic characterization of graded isomorphisms between
  Leavitt path algebras   Hazrat gave a K-theoretic invariant for Leavitt path algebras as graded
algebras. Hazrat conjectured that this invariant classifies Leavitt path
algebras up to graded isomorphism, and proved the conjecture in some cases. In
this paper, we prove that a weak version of the conjecture holds for all finite
essential graphs.

5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys