Simplicial homology and Hochschild cohomology of Banach semilattice algebras

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dc.creatorChoi, Yemon
dc.date2006-06-15
dc.date.accessioned2026-07-07T10:14:40Z
dc.date.available2026-07-07T10:14:40Z
dc.descriptionThe ${\ell}^1$-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 to all cohomology groups of degree $\geq 1$ with symmetric coef ficients. Our techniques prove a stronger splitting result, namely that the spli tting can be made natural with respect to the underlying semilattice.
dc.description17pp, preprint version (revised 2006). Final version to appear in Glasgow Math. Journal (2006)
dc.identifierhttps://arxiv.org/abs/math/0606364
dc.identifierhttp://arxiv.org/abs/math/0606364
dc.identifierGlasgow Math. Journal 48 (2006), no. 2, 231--245.
dc.identifierdoi:10.1017/S0017089506003028
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/172959
dc.subjectFunctional Analysis
dc.subjectK-Theory and Homology
dc.subject46M20; 46J40
dc.titleSimplicial homology and Hochschild cohomology of Banach semilattice algebras
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