Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: When is Every Quasi-Multiplier a Multiplier?   We answer the title question for sigma-unital C*-algebras. The answer is that
the algebra must be the direct sum of a dual C*-algebra and a C*-algebra
satisfying a certain local unitality condition. We also discuss similar
problems in the context of Hilbert C*-bimodules and imprimitivity bimodules and
in the context of centralizers of Pedersen's ideal.

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The categories of this paper are: cs
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The categories of this paper are: math-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: adap-org
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The categories of this paper are: supr-con
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The categories of this paper are: hep-ex
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The categories of this paper are: acc-phys
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: nlin
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The categories of this paper are: nucl-ex
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The categories of this paper are: stat
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The categories of this paper are: chao-dyn
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The categories of this paper are: physics
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The categories of this paper are: cmp-lg
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The categories of this paper are: ao-sci