2019
DOI: 10.1142/s0219498821500195
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C∗-algebras defined by amalgamated duplication of C∗-algebras

Abstract: Let [Formula: see text] and [Formula: see text] be two [Formula: see text]-algebras such that [Formula: see text] is a Banach [Formula: see text]-bimodule with the left and right compatible action of [Formula: see text] on [Formula: see text]. We define [Formula: see text] as a [Formula: see text]-algebra, where it is a strongly splitting [Formula: see text]-algebra extension of [Formula: see text] by [Formula: see text]. Normal, self-adjoint, unitary, invertible and projection elements of [Formula: see text] … Show more

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Cited by 4 publications
(1 citation statement)
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“…The Banach algebra A A is introduced by Javanshiri and Nemati in [13] in light of D'Anna and Fontana work related to amalgamated duplication of a ring along an ideal [5]. Some results related to these algebras are given in [7,8,10]. In this paper we need the following results on A A: Lemma 1.1.…”
Section: Introductionmentioning
confidence: 99%
“…The Banach algebra A A is introduced by Javanshiri and Nemati in [13] in light of D'Anna and Fontana work related to amalgamated duplication of a ring along an ideal [5]. Some results related to these algebras are given in [7,8,10]. In this paper we need the following results on A A: Lemma 1.1.…”
Section: Introductionmentioning
confidence: 99%