Simplicial cohomology of augmentation ideals in {ell}¹(G)
classification
🧮 math.FA
math.GR
keywords
cohomologysimplicialaugmentationboundedcanonicalcertaincoefficientscommutative-transitive
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Let $G$ be a discrete group. We give a decomposition theorem for the Hochschild cohomology of $\ell^1(G)$ with coefficients in certain $G$-modules. Using this we show that if $G$ is commutative-transitive, the canonical inclusion of bounded cohomology of $G$ into simplicial cohomology of $\ell^1(G)$ is an isomorphism.
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