Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonsplitting in Kirchberg's ideal-related KK-theory   A universal coefficient theorem in the setting of Kirchberg's ideal-related
KK-theory was obtained in the fundamental case of a C*-algebra with one
specified ideal by Bonkat and proved there to split, unnaturally, under certain
conditions. Employing certain K-theoretical information derivable from the
given operator algebras in a way introduced here, we shall demonstrate that
Bonkat's UCT does not split in general. Related methods lead to information on
the complexity of the K-theory which must be used to classify *-isomorphisms
for purely infinite C*-algebras with one non-trivial ideal.

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The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
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The categories of this paper are: adap-org
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The categories of this paper are: comp-gas
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The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
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The categories of this paper are: stat
34
The categories of this paper are: chem-ph
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The categories of this paper are: solv-int
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The categories of this paper are: funct-an
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The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph