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Pseudo-amenability of certain semigroup algebras

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Abstract

In this paper, we investigate the pseudo-amenability of semigroup algebra ℓ 1(S), where S is an inverse semigroup with uniformly locally finite idempotent set. In particular, we show that for a Brandt semigroup \(S={\mathcal{M}}^{0}(G,I)\), the pseudo-amenability of ℓ 1(S) is equivalent to the amenability of G.

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Authors and Affiliations

  1. Faculty of Mathematical and Computer Science, Tarbiat Moallem University, 50 Taleghani Avenue, 15618, Tehran, Iran

    M. Essmaili

  2. Faculty of Mathematical and Computer Science, Amirkabir University of Technology, 424 Hafez Avenue, 15914, Tehran, Iran

    M. Rostami & A. Pourabbas

Authors
  1. M. Essmaili
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  2. M. Rostami
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  3. A. Pourabbas
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Correspondence to M. Essmaili.

Additional information

Communicated by Mohan S. Putcha.

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Essmaili, M., Rostami, M. & Pourabbas, A. Pseudo-amenability of certain semigroup algebras. Semigroup Forum 82, 478–484 (2011). https://doi.org/10.1007/s00233-010-9278-2

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  • DOI: https://doi.org/10.1007/s00233-010-9278-2

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