Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Weighted homomorphisms between C*-algebras   We show that a bounded, linear map between C*-algebras is a weighted
$\ast$-homomorphism (the central compression of a $\ast$-homomorphism) if and
only if it preserves zero-products, range-orthogonality, and
domain-orthogonality. It follows that a self-adjoint, bounded, linear map is a
weighted $\ast$-homomorphism if and only if it preserves zero-products.
  As an application we show that a linear map between C*-algebras is completely
positive, order zero in the sense of Winter-Zacharias if and only if it is
positive and preserves zero-products.

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The categories of this paper are: physics
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The categories of this paper are: chao-dyn
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-lat
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The categories of this paper are: plasm-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: quant-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: cond-mat
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The categories of this paper are: cs
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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: alg-geom
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The categories of this paper are: adap-org
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The categories of this paper are: funct-an