Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Z-stability of crossed products by strongly outer actions II   We consider a crossed product of a unital simple separable nuclear stably
finite Z-stable C*-algebra A by a strongly outer cocycle action of a discrete
countable amenable group \Gamma. Under the assumption that A has finitely many
extremal tracial states and \Gamma is elementary amenable, we show that the
twisted crossed product C*-algebra is Z-stable. As an application, we also
prove that all strongly outer cocycle actions of the Klein bottle group on Z
are cocycle conjugate to each other. This is the first classification result
for actions of non-abelian infinite groups on stably finite C*-algebras.

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The categories of this paper are: dg-ga
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The categories of this paper are: ao-sci
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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: chao-dyn
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The categories of this paper are: stat
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The categories of this paper are: nlin
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The categories of this paper are: patt-sol
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The categories of this paper are: econ
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: bayes-an
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The categories of this paper are: q-fin
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The categories of this paper are: supr-con
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The categories of this paper are: q-alg
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The categories of this paper are: cs