Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Topological higher-rank graphs and the $C^*$-algebras of topological
  1-graphs   We introduce the notion of a topological higher-rank graph, a unified
generalization of the higher-rank graph and the topological graph. Using
groupoid techniques, we define the Toeplitz and Cuntz-Krieger algebras of
topological higher-rank graphs, and show that the $C^*$-algebras defined are
coherent with the existing theory.

7
The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess