$*$-Lie-Jordan-type maps on $C^{*}$-algebras
Operator Algebras
2020-05-19 v2
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.
Keywords
Cite
@article{arxiv.2003.11123,
title = {$*$-Lie-Jordan-type maps on $C^{*}$-algebras},
author = {Bruno Leonardo Macedo Ferreira and Bruno Tadeu Costa},
journal= {arXiv preprint arXiv:2003.11123},
year = {2020}
}
Comments
15 pages