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arXiv · 1706.07082

On pseudo-amenability of Beurling algebras

Kobra Oustad·Amin Mahmoodi
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Abstract

Amenability and pseudo-amenability of $ \ell^{1}(S,\omega) $ is characterized, where $S$ is a left (right) zero semigroup or it is a rectangular band semigroup. The equivalence conditions to amenability of $\ell^{1}(S,\omega)$ are provided, where $ S $ is a band semigroup. For a locally compact group $G$, pseudo-amenability of $ \ell^{1}(G,\omega) $ is also discussed.

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Kobra Oustad, Amin Mahmoodi. 2017-06-21. On pseudo-amenability of Beurling algebras. https://arxiv.org/abs/1706.07082

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