On the existence of an ultra central approximate identity for certain semigroup algebras

2018/01/05 by Amir Sahami, Sahami, A., Isaac Alması +1
Computer Science · Mathematics · #43A20 #46H05 #Advanced Operator Algebra Research #FOS: Mathematics #Functional Analysis (math.FA) #Functional Equations Stability Results #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.1801.01798

openalex publication_date 2018/01/05 · openalex created_date 2018/01/12 · openalex updated_date 2026/07/28

Abstract

In this paper we characterize the existance of an ultra central approximate identity for ℓ¹(S), where S is a uniformly locally finite inverse semigroup. As an application, for the Brandt semigroup S=M⁰(G,I) over a non-empty set I, we show that ℓ¹(S) has an ultra central approximate identity if and only if I is finite.

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