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arXiv · 2003.11123

$*$-Lie-Jordan-type maps on $C^{*}$-algebras

Bruno Leonardo Macedo Ferreira·Bruno Tadeu Costa
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Abstract

Let A and A' be two Cstar-algebras with identities I_A and I_A', respectively, and P_1 and P_2 = I_A - P_1 nontrivial projections in A. In this paper we study the characterization of multiplicative star-Lie-Jordan-type maps, where the notion of these maps arise here. In particular, if M_A is a von Neumann algebra relative Cstar-algebra A without central summands of type I_1 then every bijective unital multiplicative star-Lie-Jordan-type maps are star-ring isomorphisms.

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Bruno Leonardo Macedo Ferreira, Bruno Tadeu Costa. 2020-03-24. $*$-Lie-Jordan-type maps on $C^{*}$-algebras. https://arxiv.org/abs/2003.11123

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