*-Jordan-type maps on C^*-algebras

2020/05/23 by Ferreira, Bruno Leonardo Macedo, Costa, Bruno Tadeu
#17D05 #46L05 #FOS: Mathematics #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.2005.11430

Abstract

Let \mathfrakA and \mathfrakA' be two C^*-algebras with identities I_\mathfrakA and I_\mathfrakA', respectively, and P₁ and P₂ = I_\mathfrakA - P₁ nontrivial projections in \mathfrakA. In this paper we study the characterization of multiplicative *-Jordan-type maps. In particular, if M is a factor von Neumann algebra then every bijective unital multiplicative *-Jordan-type maps are *-ring isomorphisms.

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