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arXiv · 2112.08419

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

Ali Rejali·Ali Ranjbari
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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.

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Ali Rejali, Ali Ranjbari. 2021-12-15. Ideal and weak Amenability of Fr\'{e}chet locally $C^*$-algebra. https://arxiv.org/abs/2112.08419

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