Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Decomposition rank of subhomogeneous $C^*$-algebras   We analyze the decomposition rank (a notion of covering dimension for nuclear
$C^*$-algebras introduced by E. Kirchberg and the author) of subhomogeneous
$C^*$-algebras. In particular we show that a subhomogeneous $C^*$-algebra has
decomposition rank $n$ if and only if it is recursive subhomogeneous of
topological dimension $n$ and that $n$ is determined by the primitive ideal
space. As an application, we use recent results of Q. Lin and N. C. Phillips to
show the following: Let $A$ be the crossed product $C^*$-algebra coming from a
compact smooth manifold and a minimal diffeomorphism. Then the decomposition
rank of $A$ is dominated by the covering dimension of the underlying manifold.

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The categories of this paper are: acc-phys
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The categories of this paper are: econ
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The categories of this paper are: solv-int
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The categories of this paper are: dg-ga
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The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
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The categories of this paper are: q-bio
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-th
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The categories of this paper are: physics
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The categories of this paper are: quant-ph
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The categories of this paper are: eess
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The categories of this paper are: adap-org
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The categories of this paper are: cs
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The categories of this paper are: hep-ex
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The categories of this paper are: nlin