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- W2904106059 abstract "Abstract We consider the unital Banach algebra $ell ^{1}(mathbb{Z}_{+})$ and prove directly, without using cyclic cohomology, that the simplicial cohomology groups ${mathcal{H}}^{n}(ell ^{1}(mathbb{Z}_{+}),ell ^{1}(mathbb{Z}_{+})^{ast })$ vanish for all $ngeqslant 2$ . This proceeds via the introduction of an explicit bounded linear operator which produces a contracting homotopy for $ngeqslant 2$ . This construction is generalised to unital Banach algebras $ell ^{1}({mathcal{S}})$ , where ${mathcal{S}}={mathcal{G}}cap mathbb{R}_{+}$ and ${mathcal{G}}$ is a subgroup of $mathbb{R}_{+}$ ." @default.
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- W2904106059 date "2018-12-17" @default.
- W2904106059 modified "2023-09-23" @default.
- W2904106059 title "Simplicial (Co)-homology of" @default.
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- W2904106059 doi "https://doi.org/10.4153/s0008439518000644" @default.
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