Quasi-multipliers of Hilbert and Banach C*-bimodules

Details Quasi-multipliers of Hilbert and Banach C*-bimodules Quasi-multipliers of Hilbert and Banach C*-bimodules

2010-02-20

arxiv.org/abs/1002.3886v2

Math. Scand. 109(1), 71-92 (2011)

Mathematics

Operator Algebras

19 pages v2: to appear in Math. Scand., small glitches in one example and with formulation of definition corrected

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Quasi-multipliers of Hilbert and Banach C*-bimodules does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Quasi-multipliers of Hilbert and Banach C*-bimodules, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quasi-multipliers of Hilbert and Banach C*-bimodules will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-692658