Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quasi-multipliers of Hilbert and Banach C*-bimodules   Quasi-multipliers for a Hilbert C*-bimodule V were introduced by Brown, Mingo
and Shen 1994 as a certain subset of the Banach bidual module V**. We give
another (equivalent) definition of quasi-multipliers for Hilbert C*-bimodules
using the centralizer approach and then show that quasi-multipliers are, in
fact, universal (maximal) objects of a certain category. We also introduce
quasi-multipliers for bimodules in Kasparov's sense and even for Banach
bimodules over C*-algebras, provided these C*-algebras act non-degenerately. A
topological picture of quasi-multipliers via the quasi-strict topology is
given. Finally, we describe quasi-multipliers in two main situations: for the
standard Hilbert bimodule l_2(A) and for bimodules of sections of Hilbert
C*-bimodule bundles over locally compact spaces.

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The categories of this paper are: stat
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
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The categories of this paper are: alg-geom
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The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: dg-ga
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-fin
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The categories of this paper are: solv-int
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The categories of this paper are: quant-ph
1
The categories of this paper are: cs