Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A note on 2-local representations of C$^*$-algebras   We survey the results on linear local and 2-local homomorphisms and zero
products preserving operators between C$^*$-algebras, and we incorporate some
new precise observations and results to prove that every bounded linear 2-local
homomorphism between C$^*$-algebras is a homomorphism. Consequently, every
linear 2-local $^*$-homomorphism between C$^*$-algebras is a $^*$-homomorphism.

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The categories of this paper are: nucl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: comp-gas
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The categories of this paper are: plasm-ph
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The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
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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: dg-ga
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The categories of this paper are: nlin
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The categories of this paper are: hep-ex
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The categories of this paper are: astro-ph
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The categories of this paper are: q-bio
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The categories of this paper are: q-alg
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-fin