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We show that if L is a semilattice then the l1-convolution algebra of L is biflat precisely when L is "uniformly locally finite". Our proof technique shows in passing that if this convolution algebra is biflat then it is isomorphic as a Banach algebra to the Banach space l1(L) equipped with pointwise multiplication. At the end we sketch how these techniques may be extended to prove an analogous characterisation of biflatness for Clifford semigroup algebras. © 2007 Springer.
Author(s): Choi Y
Publication type: Article
Publication status: Published
Journal: Semigroup Forum
Year: 2007
Volume: 75
Issue: 2
Pages: 253-271
Print publication date: 01/10/2007
ISSN (print): 0037-1912
ISSN (electronic): 1432-2137
Publisher: Springer
URL: http://dx.doi.org/10.1007/s00233-007-0730-x
DOI: 10.1007/s00233-007-0730-x
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