22 citations · 148 across the 40 of their papers we have counts for
4 papers · 2 filters
Simplicial homology of strong semilattices of Banach algebras
Yemon Choi
Certain semigroups are known to admit a `strong semilattice decomposition' into simpler pieces. We introduce a class of Banach algebras that generalise the -convolution alg…
Simplicial homology and Hochschild cohomology of Banach semilattice algebras
Yemon Choi
The -convolution algebra of a semilattice is known to have trivial cohom ology in degrees 1,2 and 3 whenever the coefficient bimodule is symmetric. We ex tend this result…
Injective convolution operators on are surjective
Yemon Choi
Let be a discrete group and let . We observe that if the natural convolution operator is injective, then f is inver…
Biflatness of -semilattice algebras
Yemon Choi
Building on an old result of Duncan and Namioka, we show that the -convolution algebra of a semilattice is biflat precisely when is uniformly locally finite. The…