Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Filtered K-theory for graph algebras   We introduce filtered algebraic $K$-theory of a ring $R$ relative to a
sublattice of ideals. This is done in such a way that filtered algebraic
$K$-theory of a Leavitt path algebra relative to the graded ideals is parallel
to the gauge invariant filtered $K$-theory for graph $C^*$-algebras. We apply
this to verify the Abrams-Tomforde conjecture for a large class of finite
graphs.

17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
19
The categories of this paper are: eess
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg