Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A construction of actions on Kirchberg algebras which induce given
  actions on their K-groups   We prove that every action of a finite group all of whose Sylow subgroups are
cyclic on the K-theory of a Kirchberg algebra can be lifted to an action on the
Kirchberg algebra. The proof uses a construction of Kirchberg algebras
generalizing the one of Cuntz-Krieger algebras, and a result on modules over
finite groups. As a corollary, every automorphism of the K-theory of a
Kirchberg algebra can be lifted to an automorphism of the Kirchberg algebra
with same order.

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The categories of this paper are: adap-org
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The categories of this paper are: physics
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The categories of this paper are: hep-th
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The categories of this paper are: quant-ph
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The categories of this paper are: math-ph
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The categories of this paper are: q-fin
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The categories of this paper are: alg-geom
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The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
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The categories of this paper are: q-alg
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The categories of this paper are: hep-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: cond-mat
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The categories of this paper are: chem-ph
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The categories of this paper are: econ
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The categories of this paper are: nlin