*-Jordan-type maps on<i>C</i><sup>*</sup>-algebras
Bruno Leonardo Macedo Ferreira, Bruno Tadeu Costa
Abstract
Let A and A′ be two C*-algebras with identities IA and IA ′, respectively, and P1 and P2=IA −P1 nontrivial symmetric projections in A. 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.
Topics & Concepts
BijectionMathematicsMultiplicative functionType (biology)UnitalVon Neumann algebraRing (chemistry)Characterization (materials science)Pure mathematicsJordan algebraCombinatoricsVon Neumann architectureAlgebra over a fieldAlgebra representationMathematical analysisChemistryEcologyMaterials scienceBiologyNanotechnologyOrganic chemistryAdvanced Topics in AlgebraAdvanced Operator Algebra ResearchAlgebraic structures and combinatorial models