Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On a non-commutative analogue of a classical result of Namioka and
  Phelps   A classical result of Namioka and Phelps states that the square is a test
object to verify semi-simplexity in the tensor theory of convex compact sets.
By using the quantization of generalized Namioka-Phelps test spaces we
formulate a nuclearity criteria for C*-algebras, which establishes a
non-commutative version of their result. The proof we suggest covers the
nuclearity characterization via non-commutative polyhedron outlined by Effros.
Several matrix systems studied by Farenick and Paulsen are shown to be test
systems for nuclearity. We also prove that the standard Namioka-Phelps test
space is C*-nuclear. We propose a partition of unity property for C*-algebras
which distinguishes nuclear C*-algebras among the others.

31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
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The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th