Daws, M, Le Pham, H and White, S (2009) Conditions implying the uniqueness of the weak*-topology on certain group algebras. Houston Journal of Mathematics, 35 (1). 253 - 276. ISSN 0362-1588
Abstract
We investigate possible preduals of the measure algebra M(G) of a locally compact group and the Fourier algebra A(G) of a separable compact group. Both of these algebras are canonically dual spaces and the canonical preduals make the multiplication separately weak-continuous so that these algebras are dual Banach algebras. In this paper we find additional conditions under which the preduals Co(G) of M(G) and C*(G) of A(G) are uniquely determined. In both cases we consider a natural comultiplication and show that the canonical predual gives rise to the unique weak*-topology making both the multiplication separately weak-continuous and the comultiplication weak-continuous. In particular, dual cohomological properties of these algebras are well defined with this additional structure.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Keywords: | Dual Banach algebra; Measure Algebra; Fourier Algebra; Representations |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Pure Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 17 Dec 2013 10:36 |
Last Modified: | 15 Sep 2014 02:36 |
Published Version: | http://math.uh.edu/~hjm/ |
Status: | Published |
Publisher: | University of Houston, Texas |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:77169 |