When Is Every Quasi-Multiplier a Multiplier?

descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Article , Preprint , Other literature type 01 Jan 2020Embargo end date: 01 Jan 2018 English Publisher:Springer International Publishing

Authors: Brown, Lawrence G.;

doi: 10.1007/978-3-030-43380-2_5 , 10.48550/arxiv.1812.11086

arXiv: 1812.11086

When Is Every Quasi-Multiplier a Multiplier?

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Abstract

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.

Related Organizations

Purdue University West Lafayette
United States
Purdue University System
United States

Keywords

Mathematics - Functional Analysis, 46L05, Mathematics - Operator Algebras, FOS: Mathematics, Operator Algebras (math.OA), Functional Analysis (math.FA)

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