Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ring C*-algebras   We associate reduced and full C*-algebras to arbitrary rings and study the
inner structure of these ring C*-algebras. As a result, we obtain conditions
for them to be purely infinite and simple. We also discuss several examples.
Originially, our motivation comes from algebraic number theory.

1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc