Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Profinite pro-C*-algebras and pro-C*-algebras of profinite groups   We define the profinite completion of a C*-algebra, which is a
pro-C*-algebra, as well as the pro-C*-algebra of a profinite group. We show
that the continuous representations of the pro-C*-algebra of a profinite group
correspond to the unitary representations of the group which factor through a
finite group. We define natural homomorphisms from the C*-algebra of a locally
compact group and its profinite completion to the pro-C*-algebra of the
profinite completion of the group. We give some conditions for injectivity or
surjectivity of these homomorphisms, but an important question remains open.

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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: alg-geom
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-th
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The categories of this paper are: nlin
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The categories of this paper are: q-alg
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The categories of this paper are: cmp-lg
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The categories of this paper are: patt-sol
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The categories of this paper are: astro-ph
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The categories of this paper are: stat
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The categories of this paper are: econ
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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: ao-sci
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The categories of this paper are: solv-int