Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Simplicity of finitely-aligned k-graph C*-algebras   It is shown that no local periodicity is equivalent to the aperiodicity
condition for arbitrary finitely-aligned k-graphs. This allows us to conclude
that C*(\Lambda) is simple if and only if \Lambda is cofinal and has no local
periodicity.

11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph