Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Cuntz semigroup and domain theory   Domain theory has its origins in Mathematics and Theoretical Computer
Science. Mathematically it combines order and topology. Its central concepts
have their origin in the idea of approximating ideal objects by their
relatively finite or, more generally, relatively compact parts.
  The development of domain theory in recent years was mainly motivated by
question in denotational semantics and the theory of computation. But since
2008, domain theoretical notions and methods are used in the theory of
C*-algebras in connection with the Cuntz semigroup.
  This paper is largely expository. It presents those notions of domain theory
that seem to be relevant for the theory of Cuntz semigroups and have sometimes
been developed independently in both communities. It also contains a new aspect
in presenting results of Elliott, Ivanescu and Santiago on the cone of traces
of a C*-algebra as a particular case of the dual of a Cuntz semigroup.

35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
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The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn