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- W1660348540 abstract "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." @default.
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- W1660348540 date "2010-01-01" @default.
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- W1660348540 title "Simplicial homology of strong semilattices of Banach algebras" @default.
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