Daws, M., lePham, H. and White, S. (2009) Conditions implying the uniqueness of the weak*-topology on certain group algebras. Houston Journal of Mathematics, 35(1), pp. 253-276.
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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 C0(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.
Item Type: | Articles |
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Status: | Published |
Refereed: | Yes |
Glasgow Author(s) Enlighten ID: | White, Professor Stuart |
Authors: | Daws, M., lePham, H., and White, S. |
Subjects: | Q Science > QA Mathematics |
College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
Journal Name: | Houston Journal of Mathematics |
Journal Abbr.: | Houston J. Math. |
Publisher: | University of Houston |
ISSN: | 0362-1588 |
Copyright Holders: | Copyright © 2009 University of Houston |
First Published: | First published in Houston Journal of Mathematics 35(1):253-276 |
Publisher Policy: | Reproduced with permission of the publisher |
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