Ideal and weak Amenability of Fr\'{e}chet locally $C^*$-algebra

Ali Rejali; Ali Ranjbari

Ideal and weak Amenability of Fr\'{e}chet locally $C^*$-algebra

Operator Algebras 2021-12-17 v1 Functional Analysis

Authors: Ali Rejali , Ali Ranjbari

Abstract

The notion of Fr\'{e}chet locally $C^*$ -algebra generalizes the notion of $C^*$ -algebra. In this paper, we first present some definitions and basic facts about locally $C^*$ -algebra, and then we introduce and study the notion of ideal and weak amenability for these algebras. Also, we show that every Fr\'{e}chet locally $C^*$ -algebra is ideally amenable.

Keywords

frédét locally c*-algebra locally c*-algebra ideal amenability weak amenability c*-algebra

Cite

@article{arxiv.2112.08419,
  title  = {Ideal and weak Amenability of Fr\'{e}chet locally $C^*$-algebra},
  author = {Ali Rejali and Ali Ranjbari},
  journal= {arXiv preprint arXiv:2112.08419},
  year   = {2021}
}

Comments

arXiv admin note: text overlap with arXiv:2111.13752

Related papers

View all related →