Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Decomposition rank of Z-stable C*-algebras   We show that C*-algebras of the form C(X) \otimes Z, where X is compact and
Hausdorff and Z denotes the Jiang--Su algebra, have decomposition rank at most
2. This amounts to a dimension reduction result for C*-bundles with
sufficiently regular fibres. It establishes an important case of a conjecture
on the fine structure of nuclear C*-algebras of Toms and the second named
author, even in a nonsimple setting, and gives evidence that the topological
dimension of noncommutative spaces is governed by fibres rather than base
spaces.

23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
19
The categories of this paper are: eess
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
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The categories of this paper are: dg-ga
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The categories of this paper are: q-fin
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The categories of this paper are: cmp-lg
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The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th