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arXiv 2018-01-05 1 views

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

Sahami, A. · Almasi, I.

Original · EN

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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