On φ-Connes amenability of dual Banach algebras

author

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

Let φ be a w-continuous homomorphism from a dual Banach algebra to C. The notion of φ-Connes amenability is studied and some characterizations is given. A type of diagonal for dual Banach algebras is dened. It is proved that the existence of such a diagonal is equivalent to φ-Connes amenability. It is also shown that φ-Connes amenability is equivalent to so-called φ-splitting of a certain short exact sequence.

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Journal title

volume 03  issue 04

pages  211- 217

publication date 2014-12-01

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