(Co-)homology of Rees semigroup algebras

Mathematics – Functional Analysis

Scientific paper

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18 pages

Scientific paper

Let $S$ be a Rees semigroup, and let $\ell^1(S)$ be its convolution semigroup
algebra. Using Morita equivalence we show that bounded Hochschild homology and
cohomology of $\ell^1(S)$ is isomorphic to those of the underlying discrete
group algebra.

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