Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On pathological properties of fixed point algebras in Kirchberg algebras   We investigate how the fixed point algebra of a C*-dynamical system can
differ from the underlying C*-algebra. For any exact group $\Gamma$ and any
infinite group $\Lambda$, we construct an outer action of $\Lambda$ on the
Cuntz algebra $\mathcal{O}_2$ whose fixed point algebra is almost equal to the
reduced group C*-algebra ${\rm C}^\ast_{\rm r}(\Gamma)$. Moreover, we show that
every infinite group admits outer actions on all Kirchberg algebras whose fixed
point algebras fail the completely bounded approximation property.

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The categories of this paper are: dg-ga
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The categories of this paper are: econ
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The categories of this paper are: adap-org
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The categories of this paper are: math-ph
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The categories of this paper are: q-bio
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The categories of this paper are: hep-th
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The categories of this paper are: solv-int
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The categories of this paper are: eess
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The categories of this paper are: q-alg
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The categories of this paper are: gr-qc
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The categories of this paper are: patt-sol
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The categories of this paper are: ao-sci
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The categories of this paper are: plasm-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-ex
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The categories of this paper are: bayes-an