English

A new class of ideal Connes amenability

Functional Analysis 2022-01-19 v1

Abstract

In this paper, we introduce a new notion of amenability, σ\sigma-Connes ideal, say, for a large class of dual Banach algebras. We extend the concept of ideal Connes amenability and study their properties. Let σ\sigma be a weakweak^{*}-continuous endomorphism on a dual Banach algebra A\mathcal{A} with dense range. Then the concept of ideal Connes-amenability and σ\sigma- ideally Connes amenability are the same. We gave some general results and hereditary properties with some examples for this new notion of amenability.

Keywords

Cite

@article{arxiv.2201.05625,
  title  = {A new class of ideal Connes amenability},
  author = {Ali Rejali and Ahmad Minapoor},
  journal= {arXiv preprint arXiv:2201.05625},
  year   = {2022}
}