$sigma$-Connes Amenability and Pseudo-(Connes) Amenability of Beurling Algebras

Authors

  • Amin Mahmoodi Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran.
  • Zahra Hasanzadeh Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran.
Abstract:

In this paper,  pseudo-amenability and pseudo-Connes amenability of weighted semigroup algebra $ell^1(S,omega)$ are studied. It is proved that pseudo-Connes amenability and pseudo-amenability of weighted group algebra $ell^1(G,omega)$ are the same. Examples are given to show that the class of $sigma$-Connes amenable dual Banach algebras is larger than that of Connes amenable dual Banach algebras.

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Journal title

volume 15  issue 1

pages  77- 89

publication date 2019-07-01

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