Simplicial homology of strong semilattices of Banach algebras

Choi, Yemon (2010) Simplicial homology of strong semilattices of Banach algebras. Houston Journal of Mathematics, 36 (1). pp. 237-260.

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Certain semigroups are known to admit a 'strong semilattice decomposition' into simpler pieces. We introduce a class of Banach algebras that generalise the l1-convolution algebras of such semigroups, and obtain a disintegration theorem for their simplicial homology. Using this we show that for any Clifford semigroup S of amenable groups, l1(S) is simplicially trivial: this generalises previous results of the author (Glasgow Math. Journal, 2006). Some other applications are presented.

Item Type: Journal Article
Journal or Publication Title: Houston Journal of Mathematics
Uncontrolled Keywords: /dk/atira/pure/subjectarea/asjc/2600
Departments: Faculty of Science and Technology > Mathematics and Statistics
ID Code: 68308
Deposited By: ep_importer_pure
Deposited On: 24 Jan 2014 05:52
Refereed?: Yes
Published?: Published
Last Modified: 01 Jan 2020 08:48

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