Geodesic
SIMPLICIAL HOMOLOGY AND HOCHSCHILD COHOMOLOGY OF BANACH SEMILATTICE ALGEBRAS
Glasgow mathematical journal, Tome 48 (2006) no. 2, pp. 231-245

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DOI

The $\ell^{1}$-convolution algebra of a semilattice is known to have trivial cohomology in degrees 1, 2 and 3 whenever the coefficient bimodule is symmetric. We extend this result to all cohomology groups of degree $\geq 1$ with symmetric coefficients. Our techniques prove a stronger splitting result, namely that the splitting can be made natural with respect to the underlying semilattice.
DOI : 10.1017/S0017089506003028
Mots-clés : Primary 46M20, 46J40, Secondary 43A20 
CHOI, YEMON. SIMPLICIAL HOMOLOGY AND HOCHSCHILD COHOMOLOGY OF BANACH SEMILATTICE ALGEBRAS. Glasgow mathematical journal, Tome 48 (2006) no. 2, pp. 231-245. doi: 10.1017/S0017089506003028
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     title = {SIMPLICIAL {HOMOLOGY} {AND} {HOCHSCHILD} {COHOMOLOGY} {OF} {BANACH} {SEMILATTICE} {ALGEBRAS}},
     journal = {Glasgow mathematical journal},
     pages = {231--245},
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     volume = {48},
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     doi = {10.1017/S0017089506003028},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089506003028/}
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