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arXiv · 2111.02150

*-Lie-Type maps on alternative *-algebras

Aline Jaqueline De Oliveira Andrade·Elisabete Barreiro·Bruno Leonardo Macedo Ferreira
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Abstract

Let $A$ and $A'$ be two alternative $*$-algebras with identities 1_A and 1_A', respectively, and e_1 and e_2 = 1_A - e_1 nontrivial symmetric idempotents in A. In this paper we study the characterization of multiplicative *-Lie-type maps. As application, we get a result on alternative W*-algebras.

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Aline Jaqueline De Oliveira Andrade, Elisabete Barreiro, Bruno Leonardo Macedo Ferreira. 2021-11-03. *-Lie-Type maps on alternative *-algebras. https://doi.org/10.1142/s021949882350130x

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