Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Reduced twisted crossed products over C*-simple groups   We consider reduced crossed products of twisted C*-dynamical systems over
C*-simple groups. We prove there is a bijective correspondence between maximal
ideals of the reduced crossed product and maximal invariant ideals of the
underlying C*-algebra, and a bijective correspondence between tracial states on
the reduced crossed product and invariant tracial states on the underlying
C*-algebra. In particular, the reduced crossed product is simple if and only if
the underlying C*-algebra has no proper non-trivial invariant ideals, and the
reduced crossed product has a unique tracial state if and only if the
underlying C*-algebra has a unique invariant tracial state. We also show that
the reduced crossed product satisfies an averaging property analogous to
Powers' averaging property.

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The categories of this paper are: quant-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: eess
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The categories of this paper are: nucl-th
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The categories of this paper are: adap-org
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The categories of this paper are: hep-lat
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The categories of this paper are: stat
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The categories of this paper are: cmp-lg
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The categories of this paper are: bayes-an
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The categories of this paper are: solv-int
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The categories of this paper are: patt-sol
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The categories of this paper are: gr-qc
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The categories of this paper are: ao-sci
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The categories of this paper are: atom-ph
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The categories of this paper are: cs
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The categories of this paper are: q-alg